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Finding the Third Proportional to 10,834,919.44 and 22,566,645.56

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Solution

The third proportional to 10,834,919.44 and 22,566,645.56 is: 47,001,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,919.44 : 22,566,645.56 = 22,566,645.56 : x
  2. Step 2: Convert to fraction form
    10,834,919.44/22,566,645.56 = 22,566,645.56/x
  3. Step 3: Cross multiply
    10,834,919.44x = 22,566,645.56 × 22,566,645.56
  4. Step 4: Simplify right side
    10,834,919.44x = 509,253,491,943,500.94
  5. Step 5: Solve for x
    x = 509,253,491,943,500.94/10,834,919.44
  6. Step 6: Final answer
    x = 47,001,133.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.