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Finding the Third Proportional to 5,248,632 and 11,302,224

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Solution

The third proportional to 5,248,632 and 11,302,224 is: 24,337,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,632 : 11,302,224 = 11,302,224 : x
  2. Step 2: Convert to fraction form
    5,248,632/11,302,224 = 11,302,224/x
  3. Step 3: Cross multiply
    5,248,632x = 11,302,224 × 11,302,224
  4. Step 4: Simplify right side
    5,248,632x = 127,740,267,346,176
  5. Step 5: Solve for x
    x = 127,740,267,346,176/5,248,632
  6. Step 6: Final answer
    x = 24,337,821.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.