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Finding the Third Proportional to 4,894,780 and 10,498,128

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Solution

The third proportional to 4,894,780 and 10,498,128 is: 22,515,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,780 : 10,498,128 = 10,498,128 : x
  2. Step 2: Convert to fraction form
    4,894,780/10,498,128 = 10,498,128/x
  3. Step 3: Cross multiply
    4,894,780x = 10,498,128 × 10,498,128
  4. Step 4: Simplify right side
    4,894,780x = 110,210,691,504,384
  5. Step 5: Solve for x
    x = 110,210,691,504,384/4,894,780
  6. Step 6: Final answer
    x = 22,515,964.25

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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.