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Finding the Third Proportional to 32,321,018 and 69,769,822

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Solution

The third proportional to 32,321,018 and 69,769,822 is: 150,608,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321,018 : 69,769,822 = 69,769,822 : x
  2. Step 2: Convert to fraction form
    32,321,018/69,769,822 = 69,769,822/x
  3. Step 3: Cross multiply
    32,321,018x = 69,769,822 × 69,769,822
  4. Step 4: Simplify right side
    32,321,018x = 4,867,828,061,911,684
  5. Step 5: Solve for x
    x = 4,867,828,061,911,684/32,321,018
  6. Step 6: Final answer
    x = 150,608,748.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.