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Finding the Third Proportional to 7,884,789 and 11,527,836

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Solution

The third proportional to 7,884,789 and 11,527,836 is: 16,854,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,789 : 11,527,836 = 11,527,836 : x
  2. Step 2: Convert to fraction form
    7,884,789/11,527,836 = 11,527,836/x
  3. Step 3: Cross multiply
    7,884,789x = 11,527,836 × 11,527,836
  4. Step 4: Simplify right side
    7,884,789x = 132,891,002,842,896
  5. Step 5: Solve for x
    x = 132,891,002,842,896/7,884,789
  6. Step 6: Final answer
    x = 16,854,097.53

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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.