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Finding the Third Proportional to 4,011,893.25 and 7,822,764.38

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Solution

The third proportional to 4,011,893.25 and 7,822,764.38 is: 15,253,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011,893.25 : 7,822,764.38 = 7,822,764.38 : x
  2. Step 2: Convert to fraction form
    4,011,893.25/7,822,764.38 = 7,822,764.38/x
  3. Step 3: Cross multiply
    4,011,893.25x = 7,822,764.38 × 7,822,764.38
  4. Step 4: Simplify right side
    4,011,893.25x = 61,195,642,466,769.14
  5. Step 5: Solve for x
    x = 61,195,642,466,769.14/4,011,893.25
  6. Step 6: Final answer
    x = 15,253,557.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.