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Finding the Third Proportional to 2,829,814.73 and 6,107,770.83

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Solution

The third proportional to 2,829,814.73 and 6,107,770.83 is: 13,182,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,814.73 : 6,107,770.83 = 6,107,770.83 : x
  2. Step 2: Convert to fraction form
    2,829,814.73/6,107,770.83 = 6,107,770.83/x
  3. Step 3: Cross multiply
    2,829,814.73x = 6,107,770.83 × 6,107,770.83
  4. Step 4: Simplify right side
    2,829,814.73x = 37,304,864,488,892.30
  5. Step 5: Solve for x
    x = 37,304,864,488,892.30/2,829,814.73
  6. Step 6: Final answer
    x = 13,182,793.92

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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.