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Finding the Third Proportional to 7,324,384.50 and 15,909,723

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Solution

The third proportional to 7,324,384.50 and 15,909,723 is: 34,558,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324,384.50 : 15,909,723 = 15,909,723 : x
  2. Step 2: Convert to fraction form
    7,324,384.50/15,909,723 = 15,909,723/x
  3. Step 3: Cross multiply
    7,324,384.50x = 15,909,723 × 15,909,723
  4. Step 4: Simplify right side
    7,324,384.50x = 253,119,285,936,729
  5. Step 5: Solve for x
    x = 253,119,285,936,729/7,324,384.50
  6. Step 6: Final answer
    x = 34,558,437.77

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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.