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Finding the Third Proportional to 7,565,486 and 16,416,982

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Solution

The third proportional to 7,565,486 and 16,416,982 is: 35,624,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,486 : 16,416,982 = 16,416,982 : x
  2. Step 2: Convert to fraction form
    7,565,486/16,416,982 = 16,416,982/x
  3. Step 3: Cross multiply
    7,565,486x = 16,416,982 × 16,416,982
  4. Step 4: Simplify right side
    7,565,486x = 269,517,297,988,324
  5. Step 5: Solve for x
    x = 269,517,297,988,324/7,565,486
  6. Step 6: Final answer
    x = 35,624,584.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.