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Finding the Third Proportional to 5,059,806,282,892 and 7,708,264,876,983

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Solution

The third proportional to 5,059,806,282,892 and 7,708,264,876,983 is: 11,743,008,346,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,806,282,892 : 7,708,264,876,983 = 7,708,264,876,983 : x
  2. Step 2: Convert to fraction form
    5,059,806,282,892/7,708,264,876,983 = 7,708,264,876,983/x
  3. Step 3: Cross multiply
    5,059,806,282,892x = 7,708,264,876,983 × 7,708,264,876,983
  4. Step 4: Simplify right side
    5,059,806,282,892x = 59,417,347,413,729,743,021,801,472
  5. Step 5: Solve for x
    x = 59,417,347,413,729,743,021,801,472/5,059,806,282,892
  6. Step 6: Final answer
    x = 11,743,008,346,906.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.