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Finding the Third Proportional to 252,085,046 and 547,192,972

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Solution

The third proportional to 252,085,046 and 547,192,972 is: 1,187,774,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,085,046 : 547,192,972 = 547,192,972 : x
  2. Step 2: Convert to fraction form
    252,085,046/547,192,972 = 547,192,972/x
  3. Step 3: Cross multiply
    252,085,046x = 547,192,972 × 547,192,972
  4. Step 4: Simplify right side
    252,085,046x = 299,420,148,606,192,768
  5. Step 5: Solve for x
    x = 299,420,148,606,192,768/252,085,046
  6. Step 6: Final answer
    x = 1,187,774,337.90

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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.