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Finding the Third Proportional to 4,853,694 and 10,563,234

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Solution

The third proportional to 4,853,694 and 10,563,234 is: 22,989,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853,694 : 10,563,234 = 10,563,234 : x
  2. Step 2: Convert to fraction form
    4,853,694/10,563,234 = 10,563,234/x
  3. Step 3: Cross multiply
    4,853,694x = 10,563,234 × 10,563,234
  4. Step 4: Simplify right side
    4,853,694x = 111,581,912,538,756
  5. Step 5: Solve for x
    x = 111,581,912,538,756/4,853,694
  6. Step 6: Final answer
    x = 22,989,070.29

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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.