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Finding the Third Proportional to 34,538,139 and 75,565,517

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Solution

The third proportional to 34,538,139 and 75,565,517 is: 165,328,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538,139 : 75,565,517 = 75,565,517 : x
  2. Step 2: Convert to fraction form
    34,538,139/75,565,517 = 75,565,517/x
  3. Step 3: Cross multiply
    34,538,139x = 75,565,517 × 75,565,517
  4. Step 4: Simplify right side
    34,538,139x = 5,710,147,359,477,289
  5. Step 5: Solve for x
    x = 5,710,147,359,477,289/34,538,139
  6. Step 6: Final answer
    x = 165,328,750.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.