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Finding the Third Proportional to 261,542,628 and 564,691,032

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Solution

The third proportional to 261,542,628 and 564,691,032 is: 1,219,212,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542,628 : 564,691,032 = 564,691,032 : x
  2. Step 2: Convert to fraction form
    261,542,628/564,691,032 = 564,691,032/x
  3. Step 3: Cross multiply
    261,542,628x = 564,691,032 × 564,691,032
  4. Step 4: Simplify right side
    261,542,628x = 318,875,961,621,225,024
  5. Step 5: Solve for x
    x = 318,875,961,621,225,024/261,542,628
  6. Step 6: Final answer
    x = 1,219,212,195.20

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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.