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Finding the Third Proportional to 123,231,294 and 267,011,478

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Solution

The third proportional to 123,231,294 and 267,011,478 is: 578,547,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,231,294 : 267,011,478 = 267,011,478 : x
  2. Step 2: Convert to fraction form
    123,231,294/267,011,478 = 267,011,478/x
  3. Step 3: Cross multiply
    123,231,294x = 267,011,478 × 267,011,478
  4. Step 4: Simplify right side
    123,231,294x = 71,295,129,383,744,480
  5. Step 5: Solve for x
    x = 71,295,129,383,744,480/123,231,294
  6. Step 6: Final answer
    x = 578,547,275.37

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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.