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Finding the Third Proportional to 21,549,876 and 47,882,736

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Solution

The third proportional to 21,549,876 and 47,882,736 is: 106,393,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549,876 : 47,882,736 = 47,882,736 : x
  2. Step 2: Convert to fraction form
    21,549,876/47,882,736 = 47,882,736/x
  3. Step 3: Cross multiply
    21,549,876x = 47,882,736 × 47,882,736
  4. Step 4: Simplify right side
    21,549,876x = 2,292,756,406,845,696
  5. Step 5: Solve for x
    x = 2,292,756,406,845,696/21,549,876
  6. Step 6: Final answer
    x = 106,393,020.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.