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Finding the Third Proportional to 10,839,385.50 and 15,959,672.25

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Solution

The third proportional to 10,839,385.50 and 15,959,672.25 is: 23,498,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839,385.50 : 15,959,672.25 = 15,959,672.25 : x
  2. Step 2: Convert to fraction form
    10,839,385.50/15,959,672.25 = 15,959,672.25/x
  3. Step 3: Cross multiply
    10,839,385.50x = 15,959,672.25 × 15,959,672.25
  4. Step 4: Simplify right side
    10,839,385.50x = 254,711,138,327,420.06
  5. Step 5: Solve for x
    x = 254,711,138,327,420.06/10,839,385.50
  6. Step 6: Final answer
    x = 23,498,669.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.