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Finding the Third Proportional to 32,154,471 and 68,456,736

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Solution

The third proportional to 32,154,471 and 68,456,736 is: 145,744,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154,471 : 68,456,736 = 68,456,736 : x
  2. Step 2: Convert to fraction form
    32,154,471/68,456,736 = 68,456,736/x
  3. Step 3: Cross multiply
    32,154,471x = 68,456,736 × 68,456,736
  4. Step 4: Simplify right side
    32,154,471x = 4,686,324,703,773,696
  5. Step 5: Solve for x
    x = 4,686,324,703,773,696/32,154,471
  6. Step 6: Final answer
    x = 145,744,108.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.