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Finding the Third Proportional to 34,538,180 and 75,565,588

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Solution

The third proportional to 34,538,180 and 75,565,588 is: 165,328,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538,180 : 75,565,588 = 75,565,588 : x
  2. Step 2: Convert to fraction form
    34,538,180/75,565,588 = 75,565,588/x
  3. Step 3: Cross multiply
    34,538,180x = 75,565,588 × 75,565,588
  4. Step 4: Simplify right side
    34,538,180x = 5,710,158,089,785,744
  5. Step 5: Solve for x
    x = 5,710,158,089,785,744/34,538,180
  6. Step 6: Final answer
    x = 165,328,864.75

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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.