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Finding the Third Proportional to 38,241,450 and 82,862,136

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Solution

The third proportional to 38,241,450 and 82,862,136 is: 179,546,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241,450 : 82,862,136 = 82,862,136 : x
  2. Step 2: Convert to fraction form
    38,241,450/82,862,136 = 82,862,136/x
  3. Step 3: Cross multiply
    38,241,450x = 82,862,136 × 82,862,136
  4. Step 4: Simplify right side
    38,241,450x = 6,866,133,582,482,496
  5. Step 5: Solve for x
    x = 6,866,133,582,482,496/38,241,450
  6. Step 6: Final answer
    x = 179,546,894.34

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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.