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Finding the Third Proportional to 7,664,708 and 16,690,216

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Solution

The third proportional to 7,664,708 and 16,690,216 is: 36,343,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,708 : 16,690,216 = 16,690,216 : x
  2. Step 2: Convert to fraction form
    7,664,708/16,690,216 = 16,690,216/x
  3. Step 3: Cross multiply
    7,664,708x = 16,690,216 × 16,690,216
  4. Step 4: Simplify right side
    7,664,708x = 278,563,310,126,656
  5. Step 5: Solve for x
    x = 278,563,310,126,656/7,664,708
  6. Step 6: Final answer
    x = 36,343,629.81

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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.