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Finding the Third Proportional to 10,235,187 and 22,517,412.75

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Solution

The third proportional to 10,235,187 and 22,517,412.75 is: 49,538,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,187 : 22,517,412.75 = 22,517,412.75 : x
  2. Step 2: Convert to fraction form
    10,235,187/22,517,412.75 = 22,517,412.75/x
  3. Step 3: Cross multiply
    10,235,187x = 22,517,412.75 × 22,517,412.75
  4. Step 4: Simplify right side
    10,235,187x = 507,033,876,953,862.56
  5. Step 5: Solve for x
    x = 507,033,876,953,862.56/10,235,187
  6. Step 6: Final answer
    x = 49,538,311.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.