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Finding the Third Proportional to 7,962,921 and 17,416,107

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Solution

The third proportional to 7,962,921 and 17,416,107 is: 38,091,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962,921 : 17,416,107 = 17,416,107 : x
  2. Step 2: Convert to fraction form
    7,962,921/17,416,107 = 17,416,107/x
  3. Step 3: Cross multiply
    7,962,921x = 17,416,107 × 17,416,107
  4. Step 4: Simplify right side
    7,962,921x = 303,320,783,035,449
  5. Step 5: Solve for x
    x = 303,320,783,035,449/7,962,921
  6. Step 6: Final answer
    x = 38,091,647.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.