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Finding the Third Proportional to 18,462,264.75 and 40,175,502.75

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Solution

The third proportional to 18,462,264.75 and 40,175,502.75 is: 87,425,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462,264.75 : 40,175,502.75 = 40,175,502.75 : x
  2. Step 2: Convert to fraction form
    18,462,264.75/40,175,502.75 = 40,175,502.75/x
  3. Step 3: Cross multiply
    18,462,264.75x = 40,175,502.75 × 40,175,502.75
  4. Step 4: Simplify right side
    18,462,264.75x = 1,614,071,021,215,257.50
  5. Step 5: Solve for x
    x = 1,614,071,021,215,257.50/18,462,264.75
  6. Step 6: Final answer
    x = 87,425,407.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.