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Finding the Third Proportional to 10,448,691.50 and 16,138,865.25

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Solution

The third proportional to 10,448,691.50 and 16,138,865.25 is: 24,927,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,691.50 : 16,138,865.25 = 16,138,865.25 : x
  2. Step 2: Convert to fraction form
    10,448,691.50/16,138,865.25 = 16,138,865.25/x
  3. Step 3: Cross multiply
    10,448,691.50x = 16,138,865.25 × 16,138,865.25
  4. Step 4: Simplify right side
    10,448,691.50x = 260,462,971,557,657.56
  5. Step 5: Solve for x
    x = 260,462,971,557,657.56/10,448,691.50
  6. Step 6: Final answer
    x = 24,927,807.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.