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Finding the Third Proportional to 123,231,295 and 267,011,480

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Solution

The third proportional to 123,231,295 and 267,011,480 is: 578,547,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,231,295 : 267,011,480 = 267,011,480 : x
  2. Step 2: Convert to fraction form
    123,231,295/267,011,480 = 267,011,480/x
  3. Step 3: Cross multiply
    123,231,295x = 267,011,480 × 267,011,480
  4. Step 4: Simplify right side
    123,231,295x = 71,295,130,451,790,400
  5. Step 5: Solve for x
    x = 71,295,130,451,790,400/123,231,295
  6. Step 6: Final answer
    x = 578,547,279.34

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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.