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Finding the Third Proportional to 9,850,207.50 and 15,735,687.75

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Solution

The third proportional to 9,850,207.50 and 15,735,687.75 is: 25,137,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,207.50 : 15,735,687.75 = 15,735,687.75 : x
  2. Step 2: Convert to fraction form
    9,850,207.50/15,735,687.75 = 15,735,687.75/x
  3. Step 3: Cross multiply
    9,850,207.50x = 15,735,687.75 × 15,735,687.75
  4. Step 4: Simplify right side
    9,850,207.50x = 247,611,868,965,500.06
  5. Step 5: Solve for x
    x = 247,611,868,965,500.06/9,850,207.50
  6. Step 6: Final answer
    x = 25,137,731.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.