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Finding the Third Proportional to 1,690,802,794.50 and 2,717,956,650

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Solution

The third proportional to 1,690,802,794.50 and 2,717,956,650 is: 4,369,101,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,802,794.50 : 2,717,956,650 = 2,717,956,650 : x
  2. Step 2: Convert to fraction form
    1,690,802,794.50/2,717,956,650 = 2,717,956,650/x
  3. Step 3: Cross multiply
    1,690,802,794.50x = 2,717,956,650 × 2,717,956,650
  4. Step 4: Simplify right side
    1,690,802,794.50x = 7,387,288,351,279,222,784
  5. Step 5: Solve for x
    x = 7,387,288,351,279,222,784/1,690,802,794.50
  6. Step 6: Final answer
    x = 4,369,101,101.15

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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.