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Finding the Third Proportional to 1,690,802,757 and 2,717,956,592

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Solution

The third proportional to 1,690,802,757 and 2,717,956,592 is: 4,369,101,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,802,757 : 2,717,956,592 = 2,717,956,592 : x
  2. Step 2: Convert to fraction form
    1,690,802,757/2,717,956,592 = 2,717,956,592/x
  3. Step 3: Cross multiply
    1,690,802,757x = 2,717,956,592 × 2,717,956,592
  4. Step 4: Simplify right side
    1,690,802,757x = 7,387,288,035,996,254,208
  5. Step 5: Solve for x
    x = 7,387,288,035,996,254,208/1,690,802,757
  6. Step 6: Final answer
    x = 4,369,101,011.58

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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.