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Finding the Third Proportional to 545,520,487.50 and 1,196,656,550.75

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Solution

The third proportional to 545,520,487.50 and 1,196,656,550.75 is: 2,624,991,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,520,487.50 : 1,196,656,550.75 = 1,196,656,550.75 : x
  2. Step 2: Convert to fraction form
    545,520,487.50/1,196,656,550.75 = 1,196,656,550.75/x
  3. Step 3: Cross multiply
    545,520,487.50x = 1,196,656,550.75 × 1,196,656,550.75
  4. Step 4: Simplify right side
    545,520,487.50x = 1,431,986,900,452,887,296
  5. Step 5: Solve for x
    x = 1,431,986,900,452,887,296/545,520,487.50
  6. Step 6: Final answer
    x = 2,624,991,972.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.