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Finding the Third Proportional to 6,138,686.88 and 9,629,788.15

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Solution

The third proportional to 6,138,686.88 and 9,629,788.15 is: 15,106,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138,686.88 : 9,629,788.15 = 9,629,788.15 : x
  2. Step 2: Convert to fraction form
    6,138,686.88/9,629,788.15 = 9,629,788.15/x
  3. Step 3: Cross multiply
    6,138,686.88x = 9,629,788.15 × 9,629,788.15
  4. Step 4: Simplify right side
    6,138,686.88x = 92,732,819,783,787.33
  5. Step 5: Solve for x
    x = 92,732,819,783,787.33/6,138,686.88
  6. Step 6: Final answer
    x = 15,106,295.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.