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Finding the Third Proportional to 6,642,283.50 and 9,912,162.38

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Solution

The third proportional to 6,642,283.50 and 9,912,162.38 is: 14,791,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,283.50 : 9,912,162.38 = 9,912,162.38 : x
  2. Step 2: Convert to fraction form
    6,642,283.50/9,912,162.38 = 9,912,162.38/x
  3. Step 3: Cross multiply
    6,642,283.50x = 9,912,162.38 × 9,912,162.38
  4. Step 4: Simplify right side
    6,642,283.50x = 98,250,962,948,365.64
  5. Step 5: Solve for x
    x = 98,250,962,948,365.64/6,642,283.50
  6. Step 6: Final answer
    x = 14,791,744.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.