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Finding the Third Proportional to 1,178,517,087 and 1,638,633,793.50

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Solution

The third proportional to 1,178,517,087 and 1,638,633,793.50 is: 2,278,389,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,517,087 : 1,638,633,793.50 = 1,638,633,793.50 : x
  2. Step 2: Convert to fraction form
    1,178,517,087/1,638,633,793.50 = 1,638,633,793.50/x
  3. Step 3: Cross multiply
    1,178,517,087x = 1,638,633,793.50 × 1,638,633,793.50
  4. Step 4: Simplify right side
    1,178,517,087x = 2,685,120,709,200,200,704
  5. Step 5: Solve for x
    x = 2,685,120,709,200,200,704/1,178,517,087
  6. Step 6: Final answer
    x = 2,278,389,290.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.