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Finding the Third Proportional to 8,770,824 and 13,498,560

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Solution

The third proportional to 8,770,824 and 13,498,560 is: 20,774,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770,824 : 13,498,560 = 13,498,560 : x
  2. Step 2: Convert to fraction form
    8,770,824/13,498,560 = 13,498,560/x
  3. Step 3: Cross multiply
    8,770,824x = 13,498,560 × 13,498,560
  4. Step 4: Simplify right side
    8,770,824x = 182,211,122,073,600
  5. Step 5: Solve for x
    x = 182,211,122,073,600/8,770,824
  6. Step 6: Final answer
    x = 20,774,686.86

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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.