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Finding the Third Proportional to 9,917,862,296 and 21,579,046,442

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Solution

The third proportional to 9,917,862,296 and 21,579,046,442 is: 46,951,170,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,862,296 : 21,579,046,442 = 21,579,046,442 : x
  2. Step 2: Convert to fraction form
    9,917,862,296/21,579,046,442 = 21,579,046,442/x
  3. Step 3: Cross multiply
    9,917,862,296x = 21,579,046,442 × 21,579,046,442
  4. Step 4: Simplify right side
    9,917,862,296x = 465,655,245,345,992,867,840
  5. Step 5: Solve for x
    x = 465,655,245,345,992,867,840/9,917,862,296
  6. Step 6: Final answer
    x = 46,951,170,670.50

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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.