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Finding the Third Proportional to 21,967,162 and 47,240,257

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Solution

The third proportional to 21,967,162 and 47,240,257 is: 101,589,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967,162 : 47,240,257 = 47,240,257 : x
  2. Step 2: Convert to fraction form
    21,967,162/47,240,257 = 47,240,257/x
  3. Step 3: Cross multiply
    21,967,162x = 47,240,257 × 47,240,257
  4. Step 4: Simplify right side
    21,967,162x = 2,231,641,881,426,049
  5. Step 5: Solve for x
    x = 2,231,641,881,426,049/21,967,162
  6. Step 6: Final answer
    x = 101,589,904.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.