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Finding the Third Proportional to 22,030,048 and 47,720,000

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Solution

The third proportional to 22,030,048 and 47,720,000 is: 103,367,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030,048 : 47,720,000 = 47,720,000 : x
  2. Step 2: Convert to fraction form
    22,030,048/47,720,000 = 47,720,000/x
  3. Step 3: Cross multiply
    22,030,048x = 47,720,000 × 47,720,000
  4. Step 4: Simplify right side
    22,030,048x = 2,277,198,400,000,000
  5. Step 5: Solve for x
    x = 2,277,198,400,000,000/22,030,048
  6. Step 6: Final answer
    x = 103,367,836.51

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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.