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Finding the Third Proportional to 7,735,544 and 16,756,720

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Solution

The third proportional to 7,735,544 and 16,756,720 is: 36,298,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,544 : 16,756,720 = 16,756,720 : x
  2. Step 2: Convert to fraction form
    7,735,544/16,756,720 = 16,756,720/x
  3. Step 3: Cross multiply
    7,735,544x = 16,756,720 × 16,756,720
  4. Step 4: Simplify right side
    7,735,544x = 280,787,665,158,400
  5. Step 5: Solve for x
    x = 280,787,665,158,400/7,735,544
  6. Step 6: Final answer
    x = 36,298,373.48

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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.