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Finding the Third Proportional to 1,954,338,778 and 4,259,841,716

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Solution

The third proportional to 1,954,338,778 and 4,259,841,716 is: 9,285,110,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,338,778 : 4,259,841,716 = 4,259,841,716 : x
  2. Step 2: Convert to fraction form
    1,954,338,778/4,259,841,716 = 4,259,841,716/x
  3. Step 3: Cross multiply
    1,954,338,778x = 4,259,841,716 × 4,259,841,716
  4. Step 4: Simplify right side
    1,954,338,778x = 18,146,251,445,373,825,024
  5. Step 5: Solve for x
    x = 18,146,251,445,373,825,024/1,954,338,778
  6. Step 6: Final answer
    x = 9,285,110,467.87

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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.