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Finding the Third Proportional to 10,305,042 and 24,247,341

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Solution

The third proportional to 10,305,042 and 24,247,341 is: 57,052,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305,042 : 24,247,341 = 24,247,341 : x
  2. Step 2: Convert to fraction form
    10,305,042/24,247,341 = 24,247,341/x
  3. Step 3: Cross multiply
    10,305,042x = 24,247,341 × 24,247,341
  4. Step 4: Simplify right side
    10,305,042x = 587,933,545,570,281
  5. Step 5: Solve for x
    x = 587,933,545,570,281/10,305,042
  6. Step 6: Final answer
    x = 57,052,998.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.