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Finding the Third Proportional to 2,684,369,936,885 and 5,888,447,717,806

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Solution

The third proportional to 2,684,369,936,885 and 5,888,447,717,806 is: 12,916,929,238,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,369,936,885 : 5,888,447,717,806 = 5,888,447,717,806 : x
  2. Step 2: Convert to fraction form
    2,684,369,936,885/5,888,447,717,806 = 5,888,447,717,806/x
  3. Step 3: Cross multiply
    2,684,369,936,885x = 5,888,447,717,806 × 5,888,447,717,806
  4. Step 4: Simplify right side
    2,684,369,936,885x = 34,673,816,525,334,689,110,556,672
  5. Step 5: Solve for x
    x = 34,673,816,525,334,689,110,556,672/2,684,369,936,885
  6. Step 6: Final answer
    x = 12,916,929,238,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.