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Finding the Third Proportional to 123,542,553 and 268,598,706

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Solution

The third proportional to 123,542,553 and 268,598,706 is: 583,970,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,542,553 : 268,598,706 = 268,598,706 : x
  2. Step 2: Convert to fraction form
    123,542,553/268,598,706 = 268,598,706/x
  3. Step 3: Cross multiply
    123,542,553x = 268,598,706 × 268,598,706
  4. Step 4: Simplify right side
    123,542,553x = 72,145,264,864,874,432
  5. Step 5: Solve for x
    x = 72,145,264,864,874,432/123,542,553
  6. Step 6: Final answer
    x = 583,970,972.86

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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.