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Finding the Third Proportional to 1,891,800,084 and 4,420,098,612

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Solution

The third proportional to 1,891,800,084 and 4,420,098,612 is: 10,327,344,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,800,084 : 4,420,098,612 = 4,420,098,612 : x
  2. Step 2: Convert to fraction form
    1,891,800,084/4,420,098,612 = 4,420,098,612/x
  3. Step 3: Cross multiply
    1,891,800,084x = 4,420,098,612 × 4,420,098,612
  4. Step 4: Simplify right side
    1,891,800,084x = 19,537,271,739,804,327,936
  5. Step 5: Solve for x
    x = 19,537,271,739,804,327,936/1,891,800,084
  6. Step 6: Final answer
    x = 10,327,344,789.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.