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Finding the Third Proportional to 3,275,824 and 7,088,224

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Solution

The third proportional to 3,275,824 and 7,088,224 is: 15,337,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275,824 : 7,088,224 = 7,088,224 : x
  2. Step 2: Convert to fraction form
    3,275,824/7,088,224 = 7,088,224/x
  3. Step 3: Cross multiply
    3,275,824x = 7,088,224 × 7,088,224
  4. Step 4: Simplify right side
    3,275,824x = 50,242,919,474,176
  5. Step 5: Solve for x
    x = 50,242,919,474,176/3,275,824
  6. Step 6: Final answer
    x = 15,337,490.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.