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Finding the Third Proportional to 5,059,806,282,894 and 7,708,264,876,986

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Solution

The third proportional to 5,059,806,282,894 and 7,708,264,876,986 is: 11,743,008,346,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,806,282,894 : 7,708,264,876,986 = 7,708,264,876,986 : x
  2. Step 2: Convert to fraction form
    5,059,806,282,894/7,708,264,876,986 = 7,708,264,876,986/x
  3. Step 3: Cross multiply
    5,059,806,282,894x = 7,708,264,876,986 × 7,708,264,876,986
  4. Step 4: Simplify right side
    5,059,806,282,894x = 59,417,347,413,775,991,229,644,800
  5. Step 5: Solve for x
    x = 59,417,347,413,775,991,229,644,800/5,059,806,282,894
  6. Step 6: Final answer
    x = 11,743,008,346,910.81

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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.