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Finding the Third Proportional to 86,669,276,450 and 122,049,439,707

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Solution

The third proportional to 86,669,276,450 and 122,049,439,707 is: 171,872,505,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,669,276,450 : 122,049,439,707 = 122,049,439,707 : x
  2. Step 2: Convert to fraction form
    86,669,276,450/122,049,439,707 = 122,049,439,707/x
  3. Step 3: Cross multiply
    86,669,276,450x = 122,049,439,707 × 122,049,439,707
  4. Step 4: Simplify right side
    86,669,276,450x = 14,896,065,732,792,629,067,776
  5. Step 5: Solve for x
    x = 14,896,065,732,792,629,067,776/86,669,276,450
  6. Step 6: Final answer
    x = 171,872,505,955.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.