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Finding the Third Proportional to 1,203,561,766 and 2,620,791,216

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Solution

The third proportional to 1,203,561,766 and 2,620,791,216 is: 5,706,850,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,561,766 : 2,620,791,216 = 2,620,791,216 : x
  2. Step 2: Convert to fraction form
    1,203,561,766/2,620,791,216 = 2,620,791,216/x
  3. Step 3: Cross multiply
    1,203,561,766x = 2,620,791,216 × 2,620,791,216
  4. Step 4: Simplify right side
    1,203,561,766x = 6,868,546,597,862,758,400
  5. Step 5: Solve for x
    x = 6,868,546,597,862,758,400/1,203,561,766
  6. Step 6: Final answer
    x = 5,706,850,110.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.