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Finding the Third Proportional to 7,031,677.50 and 10,566,238.50

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Solution

The third proportional to 7,031,677.50 and 10,566,238.50 is: 15,877,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031,677.50 : 10,566,238.50 = 10,566,238.50 : x
  2. Step 2: Convert to fraction form
    7,031,677.50/10,566,238.50 = 10,566,238.50/x
  3. Step 3: Cross multiply
    7,031,677.50x = 10,566,238.50 × 10,566,238.50
  4. Step 4: Simplify right side
    7,031,677.50x = 111,645,396,038,882.25
  5. Step 5: Solve for x
    x = 111,645,396,038,882.25/7,031,677.50
  6. Step 6: Final answer
    x = 15,877,490.97

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