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Finding the Third Proportional to 1,690,802,791.50 and 2,717,956,645.50

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Solution

The third proportional to 1,690,802,791.50 and 2,717,956,645.50 is: 4,369,101,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,802,791.50 : 2,717,956,645.50 = 2,717,956,645.50 : x
  2. Step 2: Convert to fraction form
    1,690,802,791.50/2,717,956,645.50 = 2,717,956,645.50/x
  3. Step 3: Cross multiply
    1,690,802,791.50x = 2,717,956,645.50 × 2,717,956,645.50
  4. Step 4: Simplify right side
    1,690,802,791.50x = 7,387,288,326,817,612,800
  5. Step 5: Solve for x
    x = 7,387,288,326,817,612,800/1,690,802,791.50
  6. Step 6: Final answer
    x = 4,369,101,094.44

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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.