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Finding the Third Proportional to 4,101,774 and 6,367,641

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Solution

The third proportional to 4,101,774 and 6,367,641 is: 9,885,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,774 : 6,367,641 = 6,367,641 : x
  2. Step 2: Convert to fraction form
    4,101,774/6,367,641 = 6,367,641/x
  3. Step 3: Cross multiply
    4,101,774x = 6,367,641 × 6,367,641
  4. Step 4: Simplify right side
    4,101,774x = 40,546,851,904,881
  5. Step 5: Solve for x
    x = 40,546,851,904,881/4,101,774
  6. Step 6: Final answer
    x = 9,885,198.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.