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Finding the Third Proportional to 261,542,630 and 564,691,036

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Solution

The third proportional to 261,542,630 and 564,691,036 is: 1,219,212,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542,630 : 564,691,036 = 564,691,036 : x
  2. Step 2: Convert to fraction form
    261,542,630/564,691,036 = 564,691,036/x
  3. Step 3: Cross multiply
    261,542,630x = 564,691,036 × 564,691,036
  4. Step 4: Simplify right side
    261,542,630x = 318,875,966,138,753,280
  5. Step 5: Solve for x
    x = 318,875,966,138,753,280/261,542,630
  6. Step 6: Final answer
    x = 1,219,212,203.15

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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.