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Finding the Third Proportional to 34,078,416 and 74,969,904

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Solution

The third proportional to 34,078,416 and 74,969,904 is: 164,928,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078,416 : 74,969,904 = 74,969,904 : x
  2. Step 2: Convert to fraction form
    34,078,416/74,969,904 = 74,969,904/x
  3. Step 3: Cross multiply
    34,078,416x = 74,969,904 × 74,969,904
  4. Step 4: Simplify right side
    34,078,416x = 5,620,486,505,769,216
  5. Step 5: Solve for x
    x = 5,620,486,505,769,216/34,078,416
  6. Step 6: Final answer
    x = 164,928,044.36

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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.