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Finding the Third Proportional to 14,032,714,916 and 31,202,923,816

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Solution

The third proportional to 14,032,714,916 and 31,202,923,816 is: 69,382,329,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032,714,916 : 31,202,923,816 = 31,202,923,816 : x
  2. Step 2: Convert to fraction form
    14,032,714,916/31,202,923,816 = 31,202,923,816/x
  3. Step 3: Cross multiply
    14,032,714,916x = 31,202,923,816 × 31,202,923,816
  4. Step 4: Simplify right side
    14,032,714,916x = 973,622,454,667,100,028,928
  5. Step 5: Solve for x
    x = 973,622,454,667,100,028,928/14,032,714,916
  6. Step 6: Final answer
    x = 69,382,329,826.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.