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Finding the Third Proportional to 5,059,806,282,862 and 7,708,264,876,937

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Solution

The third proportional to 5,059,806,282,862 and 7,708,264,876,937 is: 11,743,008,346,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,806,282,862 : 7,708,264,876,937 = 7,708,264,876,937 : x
  2. Step 2: Convert to fraction form
    5,059,806,282,862/7,708,264,876,937 = 7,708,264,876,937/x
  3. Step 3: Cross multiply
    5,059,806,282,862x = 7,708,264,876,937 × 7,708,264,876,937
  4. Step 4: Simplify right side
    5,059,806,282,862x = 59,417,347,413,020,583,791,689,728
  5. Step 5: Solve for x
    x = 59,417,347,413,020,583,791,689,728/5,059,806,282,862
  6. Step 6: Final answer
    x = 11,743,008,346,835.78

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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.