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Finding the Third Proportional to 2,049,670,906,710 and 4,268,991,863,760

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Solution

The third proportional to 2,049,670,906,710 and 4,268,991,863,760 is: 8,891,325,662,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,670,906,710 : 4,268,991,863,760 = 4,268,991,863,760 : x
  2. Step 2: Convert to fraction form
    2,049,670,906,710/4,268,991,863,760 = 4,268,991,863,760/x
  3. Step 3: Cross multiply
    2,049,670,906,710x = 4,268,991,863,760 × 4,268,991,863,760
  4. Step 4: Simplify right side
    2,049,670,906,710x = 18,224,291,532,849,079,312,711,680
  5. Step 5: Solve for x
    x = 18,224,291,532,849,079,312,711,680/2,049,670,906,710
  6. Step 6: Final answer
    x = 8,891,325,662,665.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.