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Finding the Third Proportional to 8,046,913.50 and 17,244,364.50

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Solution

The third proportional to 8,046,913.50 and 17,244,364.50 is: 36,954,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046,913.50 : 17,244,364.50 = 17,244,364.50 : x
  2. Step 2: Convert to fraction form
    8,046,913.50/17,244,364.50 = 17,244,364.50/x
  3. Step 3: Cross multiply
    8,046,913.50x = 17,244,364.50 × 17,244,364.50
  4. Step 4: Simplify right side
    8,046,913.50x = 297,368,107,008,860.25
  5. Step 5: Solve for x
    x = 297,368,107,008,860.25/8,046,913.50
  6. Step 6: Final answer
    x = 36,954,306.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.