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Finding the Third Proportional to 10,519,591.50 and 15,737,059.69

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Solution

The third proportional to 10,519,591.50 and 15,737,059.69 is: 23,542,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519,591.50 : 15,737,059.69 = 15,737,059.69 : x
  2. Step 2: Convert to fraction form
    10,519,591.50/15,737,059.69 = 15,737,059.69/x
  3. Step 3: Cross multiply
    10,519,591.50x = 15,737,059.69 × 15,737,059.69
  4. Step 4: Simplify right side
    10,519,591.50x = 247,655,047,607,937.59
  5. Step 5: Solve for x
    x = 247,655,047,607,937.59/10,519,591.50
  6. Step 6: Final answer
    x = 23,542,268.50

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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.