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Finding the Third Proportional to 6,766,471.13 and 15,788,976.75

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Solution

The third proportional to 6,766,471.13 and 15,788,976.75 is: 36,842,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,471.13 : 15,788,976.75 = 15,788,976.75 : x
  2. Step 2: Convert to fraction form
    6,766,471.13/15,788,976.75 = 15,788,976.75/x
  3. Step 3: Cross multiply
    6,766,471.13x = 15,788,976.75 × 15,788,976.75
  4. Step 4: Simplify right side
    6,766,471.13x = 249,291,786,812,040.56
  5. Step 5: Solve for x
    x = 249,291,786,812,040.56/6,766,471.13
  6. Step 6: Final answer
    x = 36,842,215.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.