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Finding the Third Proportional to 3,977,874,217.69 and 8,661,983,706

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Solution

The third proportional to 3,977,874,217.69 and 8,661,983,706 is: 18,861,823,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,874,217.69 : 8,661,983,706 = 8,661,983,706 : x
  2. Step 2: Convert to fraction form
    3,977,874,217.69/8,661,983,706 = 8,661,983,706/x
  3. Step 3: Cross multiply
    3,977,874,217.69x = 8,661,983,706 × 8,661,983,706
  4. Step 4: Simplify right side
    3,977,874,217.69x = 75,029,961,723,009,499,136
  5. Step 5: Solve for x
    x = 75,029,961,723,009,499,136/3,977,874,217.69
  6. Step 6: Final answer
    x = 18,861,823,581.40

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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.