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Finding the Third Proportional to 7,884,801 and 11,527,854.75

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Solution

The third proportional to 7,884,801 and 11,527,854.75 is: 16,854,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,801 : 11,527,854.75 = 11,527,854.75 : x
  2. Step 2: Convert to fraction form
    7,884,801/11,527,854.75 = 11,527,854.75/x
  3. Step 3: Cross multiply
    7,884,801x = 11,527,854.75 × 11,527,854.75
  4. Step 4: Simplify right side
    7,884,801x = 132,891,435,137,097.56
  5. Step 5: Solve for x
    x = 132,891,435,137,097.56/7,884,801
  6. Step 6: Final answer
    x = 16,854,126.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.