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Finding the Third Proportional to 233,947,002 and 506,904,792

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Solution

The third proportional to 233,947,002 and 506,904,792 is: 1,098,336,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,947,002 : 506,904,792 = 506,904,792 : x
  2. Step 2: Convert to fraction form
    233,947,002/506,904,792 = 506,904,792/x
  3. Step 3: Cross multiply
    233,947,002x = 506,904,792 × 506,904,792
  4. Step 4: Simplify right side
    233,947,002x = 256,952,468,152,563,264
  5. Step 5: Solve for x
    x = 256,952,468,152,563,264/233,947,002
  6. Step 6: Final answer
    x = 1,098,336,229.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.