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Finding the Third Proportional to 8,017,764.75 and 17,482,716

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Solution

The third proportional to 8,017,764.75 and 17,482,716 is: 38,121,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017,764.75 : 17,482,716 = 17,482,716 : x
  2. Step 2: Convert to fraction form
    8,017,764.75/17,482,716 = 17,482,716/x
  3. Step 3: Cross multiply
    8,017,764.75x = 17,482,716 × 17,482,716
  4. Step 4: Simplify right side
    8,017,764.75x = 305,645,358,736,656
  5. Step 5: Solve for x
    x = 305,645,358,736,656/8,017,764.75
  6. Step 6: Final answer
    x = 38,121,018.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.