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Finding the Third Proportional to 12,472,886.25 and 18,658,470.38

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Solution

The third proportional to 12,472,886.25 and 18,658,470.38 is: 27,911,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472,886.25 : 18,658,470.38 = 18,658,470.38 : x
  2. Step 2: Convert to fraction form
    12,472,886.25/18,658,470.38 = 18,658,470.38/x
  3. Step 3: Cross multiply
    12,472,886.25x = 18,658,470.38 × 18,658,470.38
  4. Step 4: Simplify right side
    12,472,886.25x = 348,138,516,734,752.62
  5. Step 5: Solve for x
    x = 348,138,516,734,752.62/12,472,886.25
  6. Step 6: Final answer
    x = 27,911,624.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.