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Finding the Third Proportional to 9,847,126 and 15,821,591

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Solution

The third proportional to 9,847,126 and 15,821,591 is: 25,420,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,126 : 15,821,591 = 15,821,591 : x
  2. Step 2: Convert to fraction form
    9,847,126/15,821,591 = 15,821,591/x
  3. Step 3: Cross multiply
    9,847,126x = 15,821,591 × 15,821,591
  4. Step 4: Simplify right side
    9,847,126x = 250,322,741,771,281
  5. Step 5: Solve for x
    x = 250,322,741,771,281/9,847,126
  6. Step 6: Final answer
    x = 25,420,893.55

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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.