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Finding the Third Proportional to 551,068,942 and 1,189,800,976.50

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Solution

The third proportional to 551,068,942 and 1,189,800,976.50 is: 2,568,873,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,068,942 : 1,189,800,976.50 = 1,189,800,976.50 : x
  2. Step 2: Convert to fraction form
    551,068,942/1,189,800,976.50 = 1,189,800,976.50/x
  3. Step 3: Cross multiply
    551,068,942x = 1,189,800,976.50 × 1,189,800,976.50
  4. Step 4: Simplify right side
    551,068,942x = 1,415,626,363,680,353,536
  5. Step 5: Solve for x
    x = 1,415,626,363,680,353,536/551,068,942
  6. Step 6: Final answer
    x = 2,568,873,430.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.