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Finding the Third Proportional to 3,706,416 and 8,121,420

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Solution

The third proportional to 3,706,416 and 8,121,420 is: 17,795,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706,416 : 8,121,420 = 8,121,420 : x
  2. Step 2: Convert to fraction form
    3,706,416/8,121,420 = 8,121,420/x
  3. Step 3: Cross multiply
    3,706,416x = 8,121,420 × 8,121,420
  4. Step 4: Simplify right side
    3,706,416x = 65,957,462,816,400
  5. Step 5: Solve for x
    x = 65,957,462,816,400/3,706,416
  6. Step 6: Final answer
    x = 17,795,482.97

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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.