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Finding the Third Proportional to 2,472,265.88 and 5,134,011

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Solution

The third proportional to 2,472,265.88 and 5,134,011 is: 10,661,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,265.88 : 5,134,011 = 5,134,011 : x
  2. Step 2: Convert to fraction form
    2,472,265.88/5,134,011 = 5,134,011/x
  3. Step 3: Cross multiply
    2,472,265.88x = 5,134,011 × 5,134,011
  4. Step 4: Simplify right side
    2,472,265.88x = 26,358,068,948,121
  5. Step 5: Solve for x
    x = 26,358,068,948,121/2,472,265.88
  6. Step 6: Final answer
    x = 10,661,502.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.