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Finding the Third Proportional to 33,156,902 and 71,352,654

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Solution

The third proportional to 33,156,902 and 71,352,654 is: 153,548,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156,902 : 71,352,654 = 71,352,654 : x
  2. Step 2: Convert to fraction form
    33,156,902/71,352,654 = 71,352,654/x
  3. Step 3: Cross multiply
    33,156,902x = 71,352,654 × 71,352,654
  4. Step 4: Simplify right side
    33,156,902x = 5,091,201,232,843,716
  5. Step 5: Solve for x
    x = 5,091,201,232,843,716/33,156,902
  6. Step 6: Final answer
    x = 153,548,761.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.