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Finding the Third Proportional to 6,541,441.25 and 9,748,348

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Solution

The third proportional to 6,541,441.25 and 9,748,348 is: 14,527,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541,441.25 : 9,748,348 = 9,748,348 : x
  2. Step 2: Convert to fraction form
    6,541,441.25/9,748,348 = 9,748,348/x
  3. Step 3: Cross multiply
    6,541,441.25x = 9,748,348 × 9,748,348
  4. Step 4: Simplify right side
    6,541,441.25x = 95,030,288,729,104
  5. Step 5: Solve for x
    x = 95,030,288,729,104/6,541,441.25
  6. Step 6: Final answer
    x = 14,527,423.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.