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Finding the Third Proportional to 7,895,200 and 17,217,296

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Solution

The third proportional to 7,895,200 and 17,217,296 is: 37,546,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895,200 : 17,217,296 = 17,217,296 : x
  2. Step 2: Convert to fraction form
    7,895,200/17,217,296 = 17,217,296/x
  3. Step 3: Cross multiply
    7,895,200x = 17,217,296 × 17,217,296
  4. Step 4: Simplify right side
    7,895,200x = 296,435,281,551,616
  5. Step 5: Solve for x
    x = 296,435,281,551,616/7,895,200
  6. Step 6: Final answer
    x = 37,546,266.28

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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.