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Finding the Third Proportional to 64,743,404.63 and 135,472,381.88

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Solution

The third proportional to 64,743,404.63 and 135,472,381.88 is: 283,469,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743,404.63 : 135,472,381.88 = 135,472,381.88 : x
  2. Step 2: Convert to fraction form
    64,743,404.63/135,472,381.88 = 135,472,381.88/x
  3. Step 3: Cross multiply
    64,743,404.63x = 135,472,381.88 × 135,472,381.88
  4. Step 4: Simplify right side
    64,743,404.63x = 18,352,766,250,885,828
  5. Step 5: Solve for x
    x = 18,352,766,250,885,828/64,743,404.63
  6. Step 6: Final answer
    x = 283,469,279.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.