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Finding the Third Proportional to 5,100,442.17 and 10,776,575.39

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Solution

The third proportional to 5,100,442.17 and 10,776,575.39 is: 22,769,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100,442.17 : 10,776,575.39 = 10,776,575.39 : x
  2. Step 2: Convert to fraction form
    5,100,442.17/10,776,575.39 = 10,776,575.39/x
  3. Step 3: Cross multiply
    5,100,442.17x = 10,776,575.39 × 10,776,575.39
  4. Step 4: Simplify right side
    5,100,442.17x = 116,134,577,149,824.38
  5. Step 5: Solve for x
    x = 116,134,577,149,824.38/5,100,442.17
  6. Step 6: Final answer
    x = 22,769,511.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.