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Finding the Third Proportional to 522,149,931.75 and 783,224,990.75

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Solution

The third proportional to 522,149,931.75 and 783,224,990.75 is: 1,174,837,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,149,931.75 : 783,224,990.75 = 783,224,990.75 : x
  2. Step 2: Convert to fraction form
    522,149,931.75/783,224,990.75 = 783,224,990.75/x
  3. Step 3: Cross multiply
    522,149,931.75x = 783,224,990.75 × 783,224,990.75
  4. Step 4: Simplify right side
    522,149,931.75x = 613,441,386,135,337,600
  5. Step 5: Solve for x
    x = 613,441,386,135,337,600/522,149,931.75
  6. Step 6: Final answer
    x = 1,174,837,625.81

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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.