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Finding the Third Proportional to 7,735,542 and 16,756,716

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Solution

The third proportional to 7,735,542 and 16,756,716 is: 36,298,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,542 : 16,756,716 = 16,756,716 : x
  2. Step 2: Convert to fraction form
    7,735,542/16,756,716 = 16,756,716/x
  3. Step 3: Cross multiply
    7,735,542x = 16,756,716 × 16,756,716
  4. Step 4: Simplify right side
    7,735,542x = 280,787,531,104,656
  5. Step 5: Solve for x
    x = 280,787,531,104,656/7,735,542
  6. Step 6: Final answer
    x = 36,298,365.53

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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.