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Finding the Third Proportional to 86,669,276,452 and 122,049,439,710

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Solution

The third proportional to 86,669,276,452 and 122,049,439,710 is: 171,872,505,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,669,276,452 : 122,049,439,710 = 122,049,439,710 : x
  2. Step 2: Convert to fraction form
    86,669,276,452/122,049,439,710 = 122,049,439,710/x
  3. Step 3: Cross multiply
    86,669,276,452x = 122,049,439,710 × 122,049,439,710
  4. Step 4: Simplify right side
    86,669,276,452x = 14,896,065,733,524,925,186,048
  5. Step 5: Solve for x
    x = 14,896,065,733,524,925,186,048/86,669,276,452
  6. Step 6: Final answer
    x = 171,872,505,959.77

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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.