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Finding the Third Proportional to 3,141,854,629 and 6,835,325,121

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Solution

The third proportional to 3,141,854,629 and 6,835,325,121 is: 14,870,729,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,854,629 : 6,835,325,121 = 6,835,325,121 : x
  2. Step 2: Convert to fraction form
    3,141,854,629/6,835,325,121 = 6,835,325,121/x
  3. Step 3: Cross multiply
    3,141,854,629x = 6,835,325,121 × 6,835,325,121
  4. Step 4: Simplify right side
    3,141,854,629x = 46,721,669,509,773,664,256
  5. Step 5: Solve for x
    x = 46,721,669,509,773,664,256/3,141,854,629
  6. Step 6: Final answer
    x = 14,870,729,243.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.