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Finding the Third Proportional to 29,835,830 and 42,113,067

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Solution

The third proportional to 29,835,830 and 42,113,067 is: 59,442,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835,830 : 42,113,067 = 42,113,067 : x
  2. Step 2: Convert to fraction form
    29,835,830/42,113,067 = 42,113,067/x
  3. Step 3: Cross multiply
    29,835,830x = 42,113,067 × 42,113,067
  4. Step 4: Simplify right side
    29,835,830x = 1,773,510,412,146,489
  5. Step 5: Solve for x
    x = 1,773,510,412,146,489/29,835,830
  6. Step 6: Final answer
    x = 59,442,301.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.