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Finding the Third Proportional to 1,015,262,476,911.80 and 1,535,951,381,928.60

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Solution

The third proportional to 1,015,262,476,911.80 and 1,535,951,381,928.60 is: 2,323,681,512,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,262,476,911.80 : 1,535,951,381,928.60 = 1,535,951,381,928.60 : x
  2. Step 2: Convert to fraction form
    1,015,262,476,911.80/1,535,951,381,928.60 = 1,535,951,381,928.60/x
  3. Step 3: Cross multiply
    1,015,262,476,911.80x = 1,535,951,381,928.60 × 1,535,951,381,928.60
  4. Step 4: Simplify right side
    1,015,262,476,911.80x = 2,359,146,647,648,376,364,990,464
  5. Step 5: Solve for x
    x = 2,359,146,647,648,376,364,990,464/1,015,262,476,911.80
  6. Step 6: Final answer
    x = 2,323,681,512,217.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.