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Finding the Third Proportional to 9,917,862,286 and 21,579,046,425

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Solution

The third proportional to 9,917,862,286 and 21,579,046,425 is: 46,951,170,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,862,286 : 21,579,046,425 = 21,579,046,425 : x
  2. Step 2: Convert to fraction form
    9,917,862,286/21,579,046,425 = 21,579,046,425/x
  3. Step 3: Cross multiply
    9,917,862,286x = 21,579,046,425 × 21,579,046,425
  4. Step 4: Simplify right side
    9,917,862,286x = 465,655,244,612,305,289,216
  5. Step 5: Solve for x
    x = 465,655,244,612,305,289,216/9,917,862,286
  6. Step 6: Final answer
    x = 46,951,170,643.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.