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Finding the Third Proportional to 1,682,412,060 and 3,681,444,864

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Solution

The third proportional to 1,682,412,060 and 3,681,444,864 is: 8,055,717,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,412,060 : 3,681,444,864 = 3,681,444,864 : x
  2. Step 2: Convert to fraction form
    1,682,412,060/3,681,444,864 = 3,681,444,864/x
  3. Step 3: Cross multiply
    1,682,412,060x = 3,681,444,864 × 3,681,444,864
  4. Step 4: Simplify right side
    1,682,412,060x = 13,553,036,286,671,978,496
  5. Step 5: Solve for x
    x = 13,553,036,286,671,978,496/1,682,412,060
  6. Step 6: Final answer
    x = 8,055,717,507.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.