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Finding the Third Proportional to 490,681,452.94 and 736,381,396.69

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Solution

The third proportional to 490,681,452.94 and 736,381,396.69 is: 1,105,111,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,681,452.94 : 736,381,396.69 = 736,381,396.69 : x
  2. Step 2: Convert to fraction form
    490,681,452.94/736,381,396.69 = 736,381,396.69/x
  3. Step 3: Cross multiply
    490,681,452.94x = 736,381,396.69 × 736,381,396.69
  4. Step 4: Simplify right side
    490,681,452.94x = 542,257,561,387,433,216
  5. Step 5: Solve for x
    x = 542,257,561,387,433,216/490,681,452.94
  6. Step 6: Final answer
    x = 1,105,111,183.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.