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Finding the Third Proportional to 21,549,707 and 47,882,382

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Solution

The third proportional to 21,549,707 and 47,882,382 is: 106,392,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549,707 : 47,882,382 = 47,882,382 : x
  2. Step 2: Convert to fraction form
    21,549,707/47,882,382 = 47,882,382/x
  3. Step 3: Cross multiply
    21,549,707x = 47,882,382 × 47,882,382
  4. Step 4: Simplify right side
    21,549,707x = 2,292,722,505,993,924
  5. Step 5: Solve for x
    x = 2,292,722,505,993,924/21,549,707
  6. Step 6: Final answer
    x = 106,392,282.09

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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.