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Finding the Third Proportional to 773,603,574.75 and 1,669,717,867.50

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Solution

The third proportional to 773,603,574.75 and 1,669,717,867.50 is: 3,603,858,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,603,574.75 : 1,669,717,867.50 = 1,669,717,867.50 : x
  2. Step 2: Convert to fraction form
    773,603,574.75/1,669,717,867.50 = 1,669,717,867.50/x
  3. Step 3: Cross multiply
    773,603,574.75x = 1,669,717,867.50 × 1,669,717,867.50
  4. Step 4: Simplify right side
    773,603,574.75x = 2,787,957,757,048,747,520
  5. Step 5: Solve for x
    x = 2,787,957,757,048,747,520/773,603,574.75
  6. Step 6: Final answer
    x = 3,603,858,420.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.