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Finding the Third Proportional to 1,834,398,517,191.90 and 3,990,862,660,711.30

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Solution

The third proportional to 1,834,398,517,191.90 and 3,990,862,660,711.30 is: 8,682,401,685,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,398,517,191.90 : 3,990,862,660,711.30 = 3,990,862,660,711.30 : x
  2. Step 2: Convert to fraction form
    1,834,398,517,191.90/3,990,862,660,711.30 = 3,990,862,660,711.30/x
  3. Step 3: Cross multiply
    1,834,398,517,191.90x = 3,990,862,660,711.30 × 3,990,862,660,711.30
  4. Step 4: Simplify right side
    1,834,398,517,191.90x = 15,926,984,776,659,674,364,641,280
  5. Step 5: Solve for x
    x = 15,926,984,776,659,674,364,641,280/1,834,398,517,191.90
  6. Step 6: Final answer
    x = 8,682,401,685,017.02

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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.