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Finding the Third Proportional to 31,348,581 and 67,928,537.25

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Solution

The third proportional to 31,348,581 and 67,928,537.25 is: 147,192,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348,581 : 67,928,537.25 = 67,928,537.25 : x
  2. Step 2: Convert to fraction form
    31,348,581/67,928,537.25 = 67,928,537.25/x
  3. Step 3: Cross multiply
    31,348,581x = 67,928,537.25 × 67,928,537.25
  4. Step 4: Simplify right side
    31,348,581x = 4,614,286,172,924,638
  5. Step 5: Solve for x
    x = 4,614,286,172,924,638/31,348,581
  6. Step 6: Final answer
    x = 147,192,824.23

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Why These Related Problems?

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