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Finding the Third Proportional to 10,297,536 and 22,189,812

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Solution

The third proportional to 10,297,536 and 22,189,812 is: 47,816,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,536 : 22,189,812 = 22,189,812 : x
  2. Step 2: Convert to fraction form
    10,297,536/22,189,812 = 22,189,812/x
  3. Step 3: Cross multiply
    10,297,536x = 22,189,812 × 22,189,812
  4. Step 4: Simplify right side
    10,297,536x = 492,387,756,595,344
  5. Step 5: Solve for x
    x = 492,387,756,595,344/10,297,536
  6. Step 6: Final answer
    x = 47,816,075.28

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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.