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Finding the Third Proportional to 32,649,216 and 71,177,088

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Solution

The third proportional to 32,649,216 and 71,177,088 is: 155,169,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649,216 : 71,177,088 = 71,177,088 : x
  2. Step 2: Convert to fraction form
    32,649,216/71,177,088 = 71,177,088/x
  3. Step 3: Cross multiply
    32,649,216x = 71,177,088 × 71,177,088
  4. Step 4: Simplify right side
    32,649,216x = 5,066,177,856,159,744
  5. Step 5: Solve for x
    x = 5,066,177,856,159,744/32,649,216
  6. Step 6: Final answer
    x = 155,169,969.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.