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Finding the Third Proportional to 1,834,398,517,205.10 and 3,990,862,660,737.10

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Solution

The third proportional to 1,834,398,517,205.10 and 3,990,862,660,737.10 is: 8,682,401,685,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,398,517,205.10 : 3,990,862,660,737.10 = 3,990,862,660,737.10 : x
  2. Step 2: Convert to fraction form
    1,834,398,517,205.10/3,990,862,660,737.10 = 3,990,862,660,737.10/x
  3. Step 3: Cross multiply
    1,834,398,517,205.10x = 3,990,862,660,737.10 × 3,990,862,660,737.10
  4. Step 4: Simplify right side
    1,834,398,517,205.10x = 15,926,984,776,865,605,161,582,592
  5. Step 5: Solve for x
    x = 15,926,984,776,865,605,161,582,592/1,834,398,517,205.10
  6. Step 6: Final answer
    x = 8,682,401,685,066.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.