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Finding the Third Proportional to 8,382,663 and 18,334,566

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Solution

The third proportional to 8,382,663 and 18,334,566 is: 40,101,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,663 : 18,334,566 = 18,334,566 : x
  2. Step 2: Convert to fraction form
    8,382,663/18,334,566 = 18,334,566/x
  3. Step 3: Cross multiply
    8,382,663x = 18,334,566 × 18,334,566
  4. Step 4: Simplify right side
    8,382,663x = 336,156,310,408,356
  5. Step 5: Solve for x
    x = 336,156,310,408,356/8,382,663
  6. Step 6: Final answer
    x = 40,101,374.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.