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Finding the Third Proportional to 1,832,006,861 and 3,999,981,501

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Solution

The third proportional to 1,832,006,861 and 3,999,981,501 is: 8,733,510,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,006,861 : 3,999,981,501 = 3,999,981,501 : x
  2. Step 2: Convert to fraction form
    1,832,006,861/3,999,981,501 = 3,999,981,501/x
  3. Step 3: Cross multiply
    1,832,006,861x = 3,999,981,501 × 3,999,981,501
  4. Step 4: Simplify right side
    1,832,006,861x = 15,999,852,008,342,212,608
  5. Step 5: Solve for x
    x = 15,999,852,008,342,212,608/1,832,006,861
  6. Step 6: Final answer
    x = 8,733,510,964.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.