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Finding the Third Proportional to 261,542,620 and 564,691,016

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Solution

The third proportional to 261,542,620 and 564,691,016 is: 1,219,212,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542,620 : 564,691,016 = 564,691,016 : x
  2. Step 2: Convert to fraction form
    261,542,620/564,691,016 = 564,691,016/x
  3. Step 3: Cross multiply
    261,542,620x = 564,691,016 × 564,691,016
  4. Step 4: Simplify right side
    261,542,620x = 318,875,943,551,112,256
  5. Step 5: Solve for x
    x = 318,875,943,551,112,256/261,542,620
  6. Step 6: Final answer
    x = 1,219,212,163.40

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