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Finding the Third Proportional to 9,847,117.50 and 15,821,577

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Solution

The third proportional to 9,847,117.50 and 15,821,577 is: 25,420,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,117.50 : 15,821,577 = 15,821,577 : x
  2. Step 2: Convert to fraction form
    9,847,117.50/15,821,577 = 15,821,577/x
  3. Step 3: Cross multiply
    9,847,117.50x = 15,821,577 × 15,821,577
  4. Step 4: Simplify right side
    9,847,117.50x = 250,322,298,766,929
  5. Step 5: Solve for x
    x = 250,322,298,766,929/9,847,117.50
  6. Step 6: Final answer
    x = 25,420,870.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.