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Finding the Third Proportional to 11,711,886 and 25,378,706

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Solution

The third proportional to 11,711,886 and 25,378,706 is: 54,993,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711,886 : 25,378,706 = 25,378,706 : x
  2. Step 2: Convert to fraction form
    11,711,886/25,378,706 = 25,378,706/x
  3. Step 3: Cross multiply
    11,711,886x = 25,378,706 × 25,378,706
  4. Step 4: Simplify right side
    11,711,886x = 644,078,718,234,436
  5. Step 5: Solve for x
    x = 644,078,718,234,436/11,711,886
  6. Step 6: Final answer
    x = 54,993,595.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.