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Finding the Third Proportional to 3,891,363,104,877.60 and 8,368,362,976,134.40

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Solution

The third proportional to 3,891,363,104,877.60 and 8,368,362,976,134.40 is: 17,996,135,804,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891,363,104,877.60 : 8,368,362,976,134.40 = 8,368,362,976,134.40 : x
  2. Step 2: Convert to fraction form
    3,891,363,104,877.60/8,368,362,976,134.40 = 8,368,362,976,134.40/x
  3. Step 3: Cross multiply
    3,891,363,104,877.60x = 8,368,362,976,134.40 × 8,368,362,976,134.40
  4. Step 4: Simplify right side
    3,891,363,104,877.60x = 70,029,498,900,336,995,339,337,728
  5. Step 5: Solve for x
    x = 70,029,498,900,336,995,339,337,728/3,891,363,104,877.60
  6. Step 6: Final answer
    x = 17,996,135,804,587.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.