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Finding the Third Proportional to 3,673,049,277 and 7,500,268,109

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Solution

The third proportional to 3,673,049,277 and 7,500,268,109 is: 15,315,346,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673,049,277 : 7,500,268,109 = 7,500,268,109 : x
  2. Step 2: Convert to fraction form
    3,673,049,277/7,500,268,109 = 7,500,268,109/x
  3. Step 3: Cross multiply
    3,673,049,277x = 7,500,268,109 × 7,500,268,109
  4. Step 4: Simplify right side
    3,673,049,277x = 56,254,021,706,882,433,024
  5. Step 5: Solve for x
    x = 56,254,021,706,882,433,024/3,673,049,277
  6. Step 6: Final answer
    x = 15,315,346,314.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.