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Finding the Third Proportional to 10,002,400,542.75 and 21,748,126,854

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Solution

The third proportional to 10,002,400,542.75 and 21,748,126,854 is: 47,286,750,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002,400,542.75 : 21,748,126,854 = 21,748,126,854 : x
  2. Step 2: Convert to fraction form
    10,002,400,542.75/21,748,126,854 = 21,748,126,854/x
  3. Step 3: Cross multiply
    10,002,400,542.75x = 21,748,126,854 × 21,748,126,854
  4. Step 4: Simplify right side
    10,002,400,542.75x = 472,981,021,657,675,923,456
  5. Step 5: Solve for x
    x = 472,981,021,657,675,923,456/10,002,400,542.75
  6. Step 6: Final answer
    x = 47,286,750,779.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.