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Finding the Third Proportional to 3,891,363,104,880 and 8,368,362,976,139

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Solution

The third proportional to 3,891,363,104,880 and 8,368,362,976,139 is: 17,996,135,804,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891,363,104,880 : 8,368,362,976,139 = 8,368,362,976,139 : x
  2. Step 2: Convert to fraction form
    3,891,363,104,880/8,368,362,976,139 = 8,368,362,976,139/x
  3. Step 3: Cross multiply
    3,891,363,104,880x = 8,368,362,976,139 × 8,368,362,976,139
  4. Step 4: Simplify right side
    3,891,363,104,880x = 70,029,498,900,413,978,333,151,232
  5. Step 5: Solve for x
    x = 70,029,498,900,413,978,333,151,232/3,891,363,104,880
  6. Step 6: Final answer
    x = 17,996,135,804,595.78

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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.