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Finding the Third Proportional to 5,616,216 and 13,253,220

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Solution

The third proportional to 5,616,216 and 13,253,220 is: 31,275,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616,216 : 13,253,220 = 13,253,220 : x
  2. Step 2: Convert to fraction form
    5,616,216/13,253,220 = 13,253,220/x
  3. Step 3: Cross multiply
    5,616,216x = 13,253,220 × 13,253,220
  4. Step 4: Simplify right side
    5,616,216x = 175,647,840,368,400
  5. Step 5: Solve for x
    x = 175,647,840,368,400/5,616,216
  6. Step 6: Final answer
    x = 31,275,121.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.