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Finding the Third Proportional to 1,231,986,584 and 1,879,010,136

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Solution

The third proportional to 1,231,986,584 and 1,879,010,136 is: 2,865,842,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,986,584 : 1,879,010,136 = 1,879,010,136 : x
  2. Step 2: Convert to fraction form
    1,231,986,584/1,879,010,136 = 1,879,010,136/x
  3. Step 3: Cross multiply
    1,231,986,584x = 1,879,010,136 × 1,879,010,136
  4. Step 4: Simplify right side
    1,231,986,584x = 3,530,679,091,190,738,432
  5. Step 5: Solve for x
    x = 3,530,679,091,190,738,432/1,231,986,584
  6. Step 6: Final answer
    x = 2,865,842,158.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.