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Finding the Third Proportional to 3,226,429.50 and 7,021,843.50

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Solution

The third proportional to 3,226,429.50 and 7,021,843.50 is: 15,281,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,429.50 : 7,021,843.50 = 7,021,843.50 : x
  2. Step 2: Convert to fraction form
    3,226,429.50/7,021,843.50 = 7,021,843.50/x
  3. Step 3: Cross multiply
    3,226,429.50x = 7,021,843.50 × 7,021,843.50
  4. Step 4: Simplify right side
    3,226,429.50x = 49,306,286,138,492.25
  5. Step 5: Solve for x
    x = 49,306,286,138,492.25/3,226,429.50
  6. Step 6: Final answer
    x = 15,281,997.06

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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.