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Finding the Third Proportional to 6,816,150 and 14,695,182

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Solution

The third proportional to 6,816,150 and 14,695,182 is: 31,681,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,150 : 14,695,182 = 14,695,182 : x
  2. Step 2: Convert to fraction form
    6,816,150/14,695,182 = 14,695,182/x
  3. Step 3: Cross multiply
    6,816,150x = 14,695,182 × 14,695,182
  4. Step 4: Simplify right side
    6,816,150x = 215,948,374,013,124
  5. Step 5: Solve for x
    x = 215,948,374,013,124/6,816,150
  6. Step 6: Final answer
    x = 31,681,869.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.