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Finding the Third Proportional to 2,246,225,227.50 and 4,804,034,478

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Solution

The third proportional to 2,246,225,227.50 and 4,804,034,478 is: 10,274,458,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,225,227.50 : 4,804,034,478 = 4,804,034,478 : x
  2. Step 2: Convert to fraction form
    2,246,225,227.50/4,804,034,478 = 4,804,034,478/x
  3. Step 3: Cross multiply
    2,246,225,227.50x = 4,804,034,478 × 4,804,034,478
  4. Step 4: Simplify right side
    2,246,225,227.50x = 23,078,747,265,812,733,952
  5. Step 5: Solve for x
    x = 23,078,747,265,812,733,952/2,246,225,227.50
  6. Step 6: Final answer
    x = 10,274,458,225.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.