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Finding the Third Proportional to 12,466,422,526,566 and 26,808,998,775,891

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Solution

The third proportional to 12,466,422,526,566 and 26,808,998,775,891 is: 57,652,659,681,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466,422,526,566 : 26,808,998,775,891 = 26,808,998,775,891 : x
  2. Step 2: Convert to fraction form
    12,466,422,526,566/26,808,998,775,891 = 26,808,998,775,891/x
  3. Step 3: Cross multiply
    12,466,422,526,566x = 26,808,998,775,891 × 26,808,998,775,891
  4. Step 4: Simplify right side
    12,466,422,526,566x = 718,722,415,365,725,176,381,571,072
  5. Step 5: Solve for x
    x = 718,722,415,365,725,176,381,571,072/12,466,422,526,566
  6. Step 6: Final answer
    x = 57,652,659,681,165.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.