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Finding the Third Proportional to 9,749,532 and 21,126,186

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Solution

The third proportional to 9,749,532 and 21,126,186 is: 45,778,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749,532 : 21,126,186 = 21,126,186 : x
  2. Step 2: Convert to fraction form
    9,749,532/21,126,186 = 21,126,186/x
  3. Step 3: Cross multiply
    9,749,532x = 21,126,186 × 21,126,186
  4. Step 4: Simplify right side
    9,749,532x = 446,315,734,906,596
  5. Step 5: Solve for x
    x = 446,315,734,906,596/9,749,532
  6. Step 6: Final answer
    x = 45,778,170.16

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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.