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Finding the Third Proportional to 3,437,785.69 and 7,285,375.13

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Solution

The third proportional to 3,437,785.69 and 7,285,375.13 is: 15,439,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,785.69 : 7,285,375.13 = 7,285,375.13 : x
  2. Step 2: Convert to fraction form
    3,437,785.69/7,285,375.13 = 7,285,375.13/x
  3. Step 3: Cross multiply
    3,437,785.69x = 7,285,375.13 × 7,285,375.13
  4. Step 4: Simplify right side
    3,437,785.69x = 53,076,690,711,968.77
  5. Step 5: Solve for x
    x = 53,076,690,711,968.77/3,437,785.69
  6. Step 6: Final answer
    x = 15,439,208.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.