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Finding the Third Proportional to 5,447,693,871,633 and 12,005,801,253,366

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Solution

The third proportional to 5,447,693,871,633 and 12,005,801,253,366 is: 26,458,767,164,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447,693,871,633 : 12,005,801,253,366 = 12,005,801,253,366 : x
  2. Step 2: Convert to fraction form
    5,447,693,871,633/12,005,801,253,366 = 12,005,801,253,366/x
  3. Step 3: Cross multiply
    5,447,693,871,633x = 12,005,801,253,366 × 12,005,801,253,366
  4. Step 4: Simplify right side
    5,447,693,871,633x = 144,139,263,735,324,620,095,488,000
  5. Step 5: Solve for x
    x = 144,139,263,735,324,620,095,488,000/5,447,693,871,633
  6. Step 6: Final answer
    x = 26,458,767,164,924.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.