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Finding the Third Proportional to 261,542,632 and 564,691,040

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Solution

The third proportional to 261,542,632 and 564,691,040 is: 1,219,212,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542,632 : 564,691,040 = 564,691,040 : x
  2. Step 2: Convert to fraction form
    261,542,632/564,691,040 = 564,691,040/x
  3. Step 3: Cross multiply
    261,542,632x = 564,691,040 × 564,691,040
  4. Step 4: Simplify right side
    261,542,632x = 318,875,970,656,281,600
  5. Step 5: Solve for x
    x = 318,875,970,656,281,600/261,542,632
  6. Step 6: Final answer
    x = 1,219,212,211.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.