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Finding the Third Proportional to 112,370,785,274 and 162,356,379,633

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Solution

The third proportional to 112,370,785,274 and 162,356,379,633 is: 234,576,931,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,370,785,274 : 162,356,379,633 = 162,356,379,633 : x
  2. Step 2: Convert to fraction form
    112,370,785,274/162,356,379,633 = 162,356,379,633/x
  3. Step 3: Cross multiply
    112,370,785,274x = 162,356,379,633 × 162,356,379,633
  4. Step 4: Simplify right side
    112,370,785,274x = 26,359,594,007,534,818,557,952
  5. Step 5: Solve for x
    x = 26,359,594,007,534,818,557,952/112,370,785,274
  6. Step 6: Final answer
    x = 234,576,931,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.