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Finding the Third Proportional to 14,667,792,132 and 31,772,335,744

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Solution

The third proportional to 14,667,792,132 and 31,772,335,744 is: 68,822,990,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667,792,132 : 31,772,335,744 = 31,772,335,744 : x
  2. Step 2: Convert to fraction form
    14,667,792,132/31,772,335,744 = 31,772,335,744/x
  3. Step 3: Cross multiply
    14,667,792,132x = 31,772,335,744 × 31,772,335,744
  4. Step 4: Simplify right side
    14,667,792,132x = 1,009,481,318,629,460,017,152
  5. Step 5: Solve for x
    x = 1,009,481,318,629,460,017,152/14,667,792,132
  6. Step 6: Final answer
    x = 68,822,990,504.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.