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Finding the Third Proportional to 1,200,465,136 and 2,601,324,384

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Solution

The third proportional to 1,200,465,136 and 2,601,324,384 is: 5,636,888,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,465,136 : 2,601,324,384 = 2,601,324,384 : x
  2. Step 2: Convert to fraction form
    1,200,465,136/2,601,324,384 = 2,601,324,384/x
  3. Step 3: Cross multiply
    1,200,465,136x = 2,601,324,384 × 2,601,324,384
  4. Step 4: Simplify right side
    1,200,465,136x = 6,766,888,550,792,979,456
  5. Step 5: Solve for x
    x = 6,766,888,550,792,979,456/1,200,465,136
  6. Step 6: Final answer
    x = 5,636,888,859.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.