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Finding the Third Proportional to 3,215,592 and 6,695,797.50

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Solution

The third proportional to 3,215,592 and 6,695,797.50 is: 13,942,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,592 : 6,695,797.50 = 6,695,797.50 : x
  2. Step 2: Convert to fraction form
    3,215,592/6,695,797.50 = 6,695,797.50/x
  3. Step 3: Cross multiply
    3,215,592x = 6,695,797.50 × 6,695,797.50
  4. Step 4: Simplify right side
    3,215,592x = 44,833,704,161,006.25
  5. Step 5: Solve for x
    x = 44,833,704,161,006.25/3,215,592
  6. Step 6: Final answer
    x = 13,942,597.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.