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Finding the Third Proportional to 605,741,478.75 and 1,317,614,423.25

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Solution

The third proportional to 605,741,478.75 and 1,317,614,423.25 is: 2,866,086,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,741,478.75 : 1,317,614,423.25 = 1,317,614,423.25 : x
  2. Step 2: Convert to fraction form
    605,741,478.75/1,317,614,423.25 = 1,317,614,423.25/x
  3. Step 3: Cross multiply
    605,741,478.75x = 1,317,614,423.25 × 1,317,614,423.25
  4. Step 4: Simplify right side
    605,741,478.75x = 1,736,107,768,356,430,080
  5. Step 5: Solve for x
    x = 1,736,107,768,356,430,080/605,741,478.75
  6. Step 6: Final answer
    x = 2,866,086,984.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.