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Finding the Third Proportional to 1,843,062,502 and 4,061,799,842

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Solution

The third proportional to 1,843,062,502 and 4,061,799,842 is: 8,951,523,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,062,502 : 4,061,799,842 = 4,061,799,842 : x
  2. Step 2: Convert to fraction form
    1,843,062,502/4,061,799,842 = 4,061,799,842/x
  3. Step 3: Cross multiply
    1,843,062,502x = 4,061,799,842 × 4,061,799,842
  4. Step 4: Simplify right side
    1,843,062,502x = 16,498,217,956,471,224,320
  5. Step 5: Solve for x
    x = 16,498,217,956,471,224,320/1,843,062,502
  6. Step 6: Final answer
    x = 8,951,523,856.93

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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.