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Finding the Third Proportional to 3,724,322,112 and 6,206,943,816

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Solution

The third proportional to 3,724,322,112 and 6,206,943,816 is: 10,344,473,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724,322,112 : 6,206,943,816 = 6,206,943,816 : x
  2. Step 2: Convert to fraction form
    3,724,322,112/6,206,943,816 = 6,206,943,816/x
  3. Step 3: Cross multiply
    3,724,322,112x = 6,206,943,816 × 6,206,943,816
  4. Step 4: Simplify right side
    3,724,322,112x = 38,526,151,534,980,644,864
  5. Step 5: Solve for x
    x = 38,526,151,534,980,644,864/3,724,322,112
  6. Step 6: Final answer
    x = 10,344,473,538.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.