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Finding the Third Proportional to 4,894,766 and 10,498,102

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Solution

The third proportional to 4,894,766 and 10,498,102 is: 22,515,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,766 : 10,498,102 = 10,498,102 : x
  2. Step 2: Convert to fraction form
    4,894,766/10,498,102 = 10,498,102/x
  3. Step 3: Cross multiply
    4,894,766x = 10,498,102 × 10,498,102
  4. Step 4: Simplify right side
    4,894,766x = 110,210,145,602,404
  5. Step 5: Solve for x
    x = 110,210,145,602,404/4,894,766
  6. Step 6: Final answer
    x = 22,515,917.13

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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.