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Finding the Third Proportional to 4,894,782 and 10,498,132

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Solution

The third proportional to 4,894,782 and 10,498,132 is: 22,515,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,782 : 10,498,132 = 10,498,132 : x
  2. Step 2: Convert to fraction form
    4,894,782/10,498,132 = 10,498,132/x
  3. Step 3: Cross multiply
    4,894,782x = 10,498,132 × 10,498,132
  4. Step 4: Simplify right side
    4,894,782x = 110,210,775,489,424
  5. Step 5: Solve for x
    x = 110,210,775,489,424/4,894,782
  6. Step 6: Final answer
    x = 22,515,972.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.