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Finding the Third Proportional to 34,027,176 and 74,667,822

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Solution

The third proportional to 34,027,176 and 74,667,822 is: 163,847,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027,176 : 74,667,822 = 74,667,822 : x
  2. Step 2: Convert to fraction form
    34,027,176/74,667,822 = 74,667,822/x
  3. Step 3: Cross multiply
    34,027,176x = 74,667,822 × 74,667,822
  4. Step 4: Simplify right side
    34,027,176x = 5,575,283,642,223,684
  5. Step 5: Solve for x
    x = 5,575,283,642,223,684/34,027,176
  6. Step 6: Final answer
    x = 163,847,967.94

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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.