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Finding the Third Proportional to 7,853,412 and 11,521,524

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Solution

The third proportional to 7,853,412 and 11,521,524 is: 16,902,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853,412 : 11,521,524 = 11,521,524 : x
  2. Step 2: Convert to fraction form
    7,853,412/11,521,524 = 11,521,524/x
  3. Step 3: Cross multiply
    7,853,412x = 11,521,524 × 11,521,524
  4. Step 4: Simplify right side
    7,853,412x = 132,745,515,282,576
  5. Step 5: Solve for x
    x = 132,745,515,282,576/7,853,412
  6. Step 6: Final answer
    x = 16,902,909.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.