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Finding the Third Proportional to 7,852,267.83 and 11,786,711.20

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Solution

The third proportional to 7,852,267.83 and 11,786,711.20 is: 17,692,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,267.83 : 11,786,711.20 = 11,786,711.20 : x
  2. Step 2: Convert to fraction form
    7,852,267.83/11,786,711.20 = 11,786,711.20/x
  3. Step 3: Cross multiply
    7,852,267.83x = 11,786,711.20 × 11,786,711.20
  4. Step 4: Simplify right side
    7,852,267.83x = 138,926,560,985,872.39
  5. Step 5: Solve for x
    x = 138,926,560,985,872.39/7,852,267.83
  6. Step 6: Final answer
    x = 17,692,539.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.