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Finding the Third Proportional to 31,396,846,731 and 48,259,204,461

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Solution

The third proportional to 31,396,846,731 and 48,259,204,461 is: 74,177,857,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396,846,731 : 48,259,204,461 = 48,259,204,461 : x
  2. Step 2: Convert to fraction form
    31,396,846,731/48,259,204,461 = 48,259,204,461/x
  3. Step 3: Cross multiply
    31,396,846,731x = 48,259,204,461 × 48,259,204,461
  4. Step 4: Simplify right side
    31,396,846,731x = 2,328,950,815,208,602,337,280
  5. Step 5: Solve for x
    x = 2,328,950,815,208,602,337,280/31,396,846,731
  6. Step 6: Final answer
    x = 74,177,857,259.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.