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Finding the Third Proportional to 2,684,704,821 and 5,445,960,674.25

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Solution

The third proportional to 2,684,704,821 and 5,445,960,674.25 is: 11,047,206,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,704,821 : 5,445,960,674.25 = 5,445,960,674.25 : x
  2. Step 2: Convert to fraction form
    2,684,704,821/5,445,960,674.25 = 5,445,960,674.25/x
  3. Step 3: Cross multiply
    2,684,704,821x = 5,445,960,674.25 × 5,445,960,674.25
  4. Step 4: Simplify right side
    2,684,704,821x = 29,658,487,665,477,513,216
  5. Step 5: Solve for x
    x = 29,658,487,665,477,513,216/2,684,704,821
  6. Step 6: Final answer
    x = 11,047,206,170.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.