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Finding the Third Proportional to 8,226,456 and 17,715,792

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Solution

The third proportional to 8,226,456 and 17,715,792 is: 38,151,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226,456 : 17,715,792 = 17,715,792 : x
  2. Step 2: Convert to fraction form
    8,226,456/17,715,792 = 17,715,792/x
  3. Step 3: Cross multiply
    8,226,456x = 17,715,792 × 17,715,792
  4. Step 4: Simplify right side
    8,226,456x = 313,849,286,187,264
  5. Step 5: Solve for x
    x = 313,849,286,187,264/8,226,456
  6. Step 6: Final answer
    x = 38,151,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.