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Finding the Third Proportional to 2,398,240,962 and 5,347,915,238

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Solution

The third proportional to 2,398,240,962 and 5,347,915,238 is: 11,925,489,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,240,962 : 5,347,915,238 = 5,347,915,238 : x
  2. Step 2: Convert to fraction form
    2,398,240,962/5,347,915,238 = 5,347,915,238/x
  3. Step 3: Cross multiply
    2,398,240,962x = 5,347,915,238 × 5,347,915,238
  4. Step 4: Simplify right side
    2,398,240,962x = 28,600,197,392,832,598,016
  5. Step 5: Solve for x
    x = 28,600,197,392,832,598,016/2,398,240,962
  6. Step 6: Final answer
    x = 11,925,489,492.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.