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Finding the Third Proportional to 2,585,136 and 5,522,160

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Solution

The third proportional to 2,585,136 and 5,522,160 is: 11,795,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,136 : 5,522,160 = 5,522,160 : x
  2. Step 2: Convert to fraction form
    2,585,136/5,522,160 = 5,522,160/x
  3. Step 3: Cross multiply
    2,585,136x = 5,522,160 × 5,522,160
  4. Step 4: Simplify right side
    2,585,136x = 30,494,251,065,600
  5. Step 5: Solve for x
    x = 30,494,251,065,600/2,585,136
  6. Step 6: Final answer
    x = 11,795,994.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.