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Finding the Third Proportional to 8,770,826 and 13,498,563

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Solution

The third proportional to 8,770,826 and 13,498,563 is: 20,774,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770,826 : 13,498,563 = 13,498,563 : x
  2. Step 2: Convert to fraction form
    8,770,826/13,498,563 = 13,498,563/x
  3. Step 3: Cross multiply
    8,770,826x = 13,498,563 × 13,498,563
  4. Step 4: Simplify right side
    8,770,826x = 182,211,203,064,969
  5. Step 5: Solve for x
    x = 182,211,203,064,969/8,770,826
  6. Step 6: Final answer
    x = 20,774,691.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.