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Finding the Third Proportional to 649,029,136 and 1,530,577,360

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Solution

The third proportional to 649,029,136 and 1,530,577,360 is: 3,609,494,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,029,136 : 1,530,577,360 = 1,530,577,360 : x
  2. Step 2: Convert to fraction form
    649,029,136/1,530,577,360 = 1,530,577,360/x
  3. Step 3: Cross multiply
    649,029,136x = 1,530,577,360 × 1,530,577,360
  4. Step 4: Simplify right side
    649,029,136x = 2,342,667,054,944,569,344
  5. Step 5: Solve for x
    x = 2,342,667,054,944,569,344/649,029,136
  6. Step 6: Final answer
    x = 3,609,494,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.