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Finding the Third Proportional to 345,762,792 and 754,712,937

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Solution

The third proportional to 345,762,792 and 754,712,937 is: 1,647,347,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,762,792 : 754,712,937 = 754,712,937 : x
  2. Step 2: Convert to fraction form
    345,762,792/754,712,937 = 754,712,937/x
  3. Step 3: Cross multiply
    345,762,792x = 754,712,937 × 754,712,937
  4. Step 4: Simplify right side
    345,762,792x = 569,591,617,275,165,952
  5. Step 5: Solve for x
    x = 569,591,617,275,165,952/345,762,792
  6. Step 6: Final answer
    x = 1,647,347,923.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.