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Finding the Third Proportional to 1,149,993,396.75 and 1,877,636,863.13

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Solution

The third proportional to 1,149,993,396.75 and 1,877,636,863.13 is: 3,065,687,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,993,396.75 : 1,877,636,863.13 = 1,877,636,863.13 : x
  2. Step 2: Convert to fraction form
    1,149,993,396.75/1,877,636,863.13 = 1,877,636,863.13/x
  3. Step 3: Cross multiply
    1,149,993,396.75x = 1,877,636,863.13 × 1,877,636,863.13
  4. Step 4: Simplify right side
    1,149,993,396.75x = 3,525,520,189,765,890,048
  5. Step 5: Solve for x
    x = 3,525,520,189,765,890,048/1,149,993,396.75
  6. Step 6: Final answer
    x = 3,065,687,333.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.