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Finding the Third Proportional to 2,092,078,680 and 4,592,253,216

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Solution

The third proportional to 2,092,078,680 and 4,592,253,216 is: 10,080,304,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,078,680 : 4,592,253,216 = 4,592,253,216 : x
  2. Step 2: Convert to fraction form
    2,092,078,680/4,592,253,216 = 4,592,253,216/x
  3. Step 3: Cross multiply
    2,092,078,680x = 4,592,253,216 × 4,592,253,216
  4. Step 4: Simplify right side
    2,092,078,680x = 21,088,789,599,862,341,632
  5. Step 5: Solve for x
    x = 21,088,789,599,862,341,632/2,092,078,680
  6. Step 6: Final answer
    x = 10,080,304,245.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.