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Finding the Third Proportional to 1,694,715,708 and 3,656,962,104

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Solution

The third proportional to 1,694,715,708 and 3,656,962,104 is: 7,891,218,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,715,708 : 3,656,962,104 = 3,656,962,104 : x
  2. Step 2: Convert to fraction form
    1,694,715,708/3,656,962,104 = 3,656,962,104/x
  3. Step 3: Cross multiply
    1,694,715,708x = 3,656,962,104 × 3,656,962,104
  4. Step 4: Simplify right side
    1,694,715,708x = 13,373,371,830,092,107,776
  5. Step 5: Solve for x
    x = 13,373,371,830,092,107,776/1,694,715,708
  6. Step 6: Final answer
    x = 7,891,218,430.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.