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Finding the Third Proportional to 769,550,548.50 and 1,648,066,205.25

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Solution

The third proportional to 769,550,548.50 and 1,648,066,205.25 is: 3,529,491,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,550,548.50 : 1,648,066,205.25 = 1,648,066,205.25 : x
  2. Step 2: Convert to fraction form
    769,550,548.50/1,648,066,205.25 = 1,648,066,205.25/x
  3. Step 3: Cross multiply
    769,550,548.50x = 1,648,066,205.25 × 1,648,066,205.25
  4. Step 4: Simplify right side
    769,550,548.50x = 2,716,122,216,887,135,232
  5. Step 5: Solve for x
    x = 2,716,122,216,887,135,232/769,550,548.50
  6. Step 6: Final answer
    x = 3,529,491,626.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.