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Finding the Third Proportional to 15,761,175.75 and 34,212,624.75

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Solution

The third proportional to 15,761,175.75 and 34,212,624.75 is: 74,264,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761,175.75 : 34,212,624.75 = 34,212,624.75 : x
  2. Step 2: Convert to fraction form
    15,761,175.75/34,212,624.75 = 34,212,624.75/x
  3. Step 3: Cross multiply
    15,761,175.75x = 34,212,624.75 × 34,212,624.75
  4. Step 4: Simplify right side
    15,761,175.75x = 1,170,503,692,284,312.50
  5. Step 5: Solve for x
    x = 1,170,503,692,284,312.50/15,761,175.75
  6. Step 6: Final answer
    x = 74,264,998.43

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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.