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Finding the Third Proportional to 9,749,542 and 21,126,204

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Solution

The third proportional to 9,749,542 and 21,126,204 is: 45,778,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749,542 : 21,126,204 = 21,126,204 : x
  2. Step 2: Convert to fraction form
    9,749,542/21,126,204 = 21,126,204/x
  3. Step 3: Cross multiply
    9,749,542x = 21,126,204 × 21,126,204
  4. Step 4: Simplify right side
    9,749,542x = 446,316,495,449,616
  5. Step 5: Solve for x
    x = 446,316,495,449,616/9,749,542
  6. Step 6: Final answer
    x = 45,778,201.22

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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.