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Finding the Third Proportional to 1,690,802,811 and 2,717,956,665

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Solution

The third proportional to 1,690,802,811 and 2,717,956,665 is: 4,369,101,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,802,811 : 2,717,956,665 = 2,717,956,665 : x
  2. Step 2: Convert to fraction form
    1,690,802,811/2,717,956,665 = 2,717,956,665/x
  3. Step 3: Cross multiply
    1,690,802,811x = 2,717,956,665 × 2,717,956,665
  4. Step 4: Simplify right side
    1,690,802,811x = 7,387,288,432,817,922,048
  5. Step 5: Solve for x
    x = 7,387,288,432,817,922,048/1,690,802,811
  6. Step 6: Final answer
    x = 4,369,101,106.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.