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Finding the Third Proportional to 8,123,175 and 17,840,511

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Solution

The third proportional to 8,123,175 and 17,840,511 is: 39,182,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123,175 : 17,840,511 = 17,840,511 : x
  2. Step 2: Convert to fraction form
    8,123,175/17,840,511 = 17,840,511/x
  3. Step 3: Cross multiply
    8,123,175x = 17,840,511 × 17,840,511
  4. Step 4: Simplify right side
    8,123,175x = 318,283,832,741,121
  5. Step 5: Solve for x
    x = 318,283,832,741,121/8,123,175
  6. Step 6: Final answer
    x = 39,182,195.72

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