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Finding the Third Proportional to 1,368,670,452.75 and 2,809,898,113.50

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Solution

The third proportional to 1,368,670,452.75 and 2,809,898,113.50 is: 5,768,757,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,670,452.75 : 2,809,898,113.50 = 2,809,898,113.50 : x
  2. Step 2: Convert to fraction form
    1,368,670,452.75/2,809,898,113.50 = 2,809,898,113.50/x
  3. Step 3: Cross multiply
    1,368,670,452.75x = 2,809,898,113.50 × 2,809,898,113.50
  4. Step 4: Simplify right side
    1,368,670,452.75x = 7,895,527,408,250,858,496
  5. Step 5: Solve for x
    x = 7,895,527,408,250,858,496/1,368,670,452.75
  6. Step 6: Final answer
    x = 5,768,757,111.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.