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Finding the Third Proportional to 12,466,422,526,580 and 26,808,998,775,920

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Solution

The third proportional to 12,466,422,526,580 and 26,808,998,775,920 is: 57,652,659,681,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466,422,526,580 : 26,808,998,775,920 = 26,808,998,775,920 : x
  2. Step 2: Convert to fraction form
    12,466,422,526,580/26,808,998,775,920 = 26,808,998,775,920/x
  3. Step 3: Cross multiply
    12,466,422,526,580x = 26,808,998,775,920 × 26,808,998,775,920
  4. Step 4: Simplify right side
    12,466,422,526,580x = 718,722,415,367,280,023,262,199,808
  5. Step 5: Solve for x
    x = 718,722,415,367,280,023,262,199,808/12,466,422,526,580
  6. Step 6: Final answer
    x = 57,652,659,681,225.49

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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.