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Finding the Third Proportional to 2,251,189,263 and 4,889,908,000

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Solution

The third proportional to 2,251,189,263 and 4,889,908,000 is: 10,621,585,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,189,263 : 4,889,908,000 = 4,889,908,000 : x
  2. Step 2: Convert to fraction form
    2,251,189,263/4,889,908,000 = 4,889,908,000/x
  3. Step 3: Cross multiply
    2,251,189,263x = 4,889,908,000 × 4,889,908,000
  4. Step 4: Simplify right side
    2,251,189,263x = 23,911,200,248,463,998,976
  5. Step 5: Solve for x
    x = 23,911,200,248,463,998,976/2,251,189,263
  6. Step 6: Final answer
    x = 10,621,585,950.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.