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Finding the Third Proportional to 21,863,949 and 47,846,587

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Solution

The third proportional to 21,863,949 and 47,846,587 is: 104,706,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863,949 : 47,846,587 = 47,846,587 : x
  2. Step 2: Convert to fraction form
    21,863,949/47,846,587 = 47,846,587/x
  3. Step 3: Cross multiply
    21,863,949x = 47,846,587 × 47,846,587
  4. Step 4: Simplify right side
    21,863,949x = 2,289,295,887,548,569
  5. Step 5: Solve for x
    x = 2,289,295,887,548,569/21,863,949
  6. Step 6: Final answer
    x = 104,706,422.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.