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Finding the Third Proportional to 37,223,836 and 81,795,581

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Solution

The third proportional to 37,223,836 and 81,795,581 is: 179,737,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223,836 : 81,795,581 = 81,795,581 : x
  2. Step 2: Convert to fraction form
    37,223,836/81,795,581 = 81,795,581/x
  3. Step 3: Cross multiply
    37,223,836x = 81,795,581 × 81,795,581
  4. Step 4: Simplify right side
    37,223,836x = 6,690,517,071,127,561
  5. Step 5: Solve for x
    x = 6,690,517,071,127,561/37,223,836
  6. Step 6: Final answer
    x = 179,737,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.