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Finding the Third Proportional to 5,177,908.50 and 7,766,862

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Solution

The third proportional to 5,177,908.50 and 7,766,862 is: 11,650,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,908.50 : 7,766,862 = 7,766,862 : x
  2. Step 2: Convert to fraction form
    5,177,908.50/7,766,862 = 7,766,862/x
  3. Step 3: Cross multiply
    5,177,908.50x = 7,766,862 × 7,766,862
  4. Step 4: Simplify right side
    5,177,908.50x = 60,324,145,327,044
  5. Step 5: Solve for x
    x = 60,324,145,327,044/5,177,908.50
  6. Step 6: Final answer
    x = 11,650,291.88

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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.