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Finding the Third Proportional to 32,897,280 and 71,286,144

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Solution

The third proportional to 32,897,280 and 71,286,144 is: 154,472,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897,280 : 71,286,144 = 71,286,144 : x
  2. Step 2: Convert to fraction form
    32,897,280/71,286,144 = 71,286,144/x
  3. Step 3: Cross multiply
    32,897,280x = 71,286,144 × 71,286,144
  4. Step 4: Simplify right side
    32,897,280x = 5,081,714,326,388,736
  5. Step 5: Solve for x
    x = 5,081,714,326,388,736/32,897,280
  6. Step 6: Final answer
    x = 154,472,172.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.