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Finding the Third Proportional to 252,107,644 and 548,386,856

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Solution

The third proportional to 252,107,644 and 548,386,856 is: 1,192,856,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,107,644 : 548,386,856 = 548,386,856 : x
  2. Step 2: Convert to fraction form
    252,107,644/548,386,856 = 548,386,856/x
  3. Step 3: Cross multiply
    252,107,644x = 548,386,856 × 548,386,856
  4. Step 4: Simplify right side
    252,107,644x = 300,728,143,833,564,736
  5. Step 5: Solve for x
    x = 300,728,143,833,564,736/252,107,644
  6. Step 6: Final answer
    x = 1,192,856,111.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.