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Finding the Third Proportional to 9,720,798 and 22,504,443

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Solution

The third proportional to 9,720,798 and 22,504,443 is: 52,099,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,798 : 22,504,443 = 22,504,443 : x
  2. Step 2: Convert to fraction form
    9,720,798/22,504,443 = 22,504,443/x
  3. Step 3: Cross multiply
    9,720,798x = 22,504,443 × 22,504,443
  4. Step 4: Simplify right side
    9,720,798x = 506,449,954,740,249
  5. Step 5: Solve for x
    x = 506,449,954,740,249/9,720,798
  6. Step 6: Final answer
    x = 52,099,627.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.