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Finding the Third Proportional to 6,041,307 and 9,149,704.50

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Solution

The third proportional to 6,041,307 and 9,149,704.50 is: 13,857,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041,307 : 9,149,704.50 = 9,149,704.50 : x
  2. Step 2: Convert to fraction form
    6,041,307/9,149,704.50 = 9,149,704.50/x
  3. Step 3: Cross multiply
    6,041,307x = 9,149,704.50 × 9,149,704.50
  4. Step 4: Simplify right side
    6,041,307x = 83,717,092,437,320.25
  5. Step 5: Solve for x
    x = 83,717,092,437,320.25/6,041,307
  6. Step 6: Final answer
    x = 13,857,447.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.