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Finding the Third Proportional to 4,866,864 and 11,266,470

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Solution

The third proportional to 4,866,864 and 11,266,470 is: 26,081,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866,864 : 11,266,470 = 11,266,470 : x
  2. Step 2: Convert to fraction form
    4,866,864/11,266,470 = 11,266,470/x
  3. Step 3: Cross multiply
    4,866,864x = 11,266,470 × 11,266,470
  4. Step 4: Simplify right side
    4,866,864x = 126,933,346,260,900
  5. Step 5: Solve for x
    x = 126,933,346,260,900/4,866,864
  6. Step 6: Final answer
    x = 26,081,136.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.