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Finding the Third Proportional to 10,297,554 and 22,189,848

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Solution

The third proportional to 10,297,554 and 22,189,848 is: 47,816,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,554 : 22,189,848 = 22,189,848 : x
  2. Step 2: Convert to fraction form
    10,297,554/22,189,848 = 22,189,848/x
  3. Step 3: Cross multiply
    10,297,554x = 22,189,848 × 22,189,848
  4. Step 4: Simplify right side
    10,297,554x = 492,389,354,263,104
  5. Step 5: Solve for x
    x = 492,389,354,263,104/10,297,554
  6. Step 6: Final answer
    x = 47,816,146.85

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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.