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Finding the Third Proportional to 2,771,280,343.50 and 5,738,998,734

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Solution

The third proportional to 2,771,280,343.50 and 5,738,998,734 is: 11,884,797,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,280,343.50 : 5,738,998,734 = 5,738,998,734 : x
  2. Step 2: Convert to fraction form
    2,771,280,343.50/5,738,998,734 = 5,738,998,734/x
  3. Step 3: Cross multiply
    2,771,280,343.50x = 5,738,998,734 × 5,738,998,734
  4. Step 4: Simplify right side
    2,771,280,343.50x = 32,936,106,468,853,604,352
  5. Step 5: Solve for x
    x = 32,936,106,468,853,604,352/2,771,280,343.50
  6. Step 6: Final answer
    x = 11,884,797,778.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.