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Finding the Third Proportional to 4,065,398.25 and 8,839,357.50

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Solution

The third proportional to 4,065,398.25 and 8,839,357.50 is: 19,219,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,398.25 : 8,839,357.50 = 8,839,357.50 : x
  2. Step 2: Convert to fraction form
    4,065,398.25/8,839,357.50 = 8,839,357.50/x
  3. Step 3: Cross multiply
    4,065,398.25x = 8,839,357.50 × 8,839,357.50
  4. Step 4: Simplify right side
    4,065,398.25x = 78,134,241,012,806.25
  5. Step 5: Solve for x
    x = 78,134,241,012,806.25/4,065,398.25
  6. Step 6: Final answer
    x = 19,219,332.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.