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Finding the Third Proportional to 11,924,875 and 25,738,224

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Solution

The third proportional to 11,924,875 and 25,738,224 is: 55,552,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924,875 : 25,738,224 = 25,738,224 : x
  2. Step 2: Convert to fraction form
    11,924,875/25,738,224 = 25,738,224/x
  3. Step 3: Cross multiply
    11,924,875x = 25,738,224 × 25,738,224
  4. Step 4: Simplify right side
    11,924,875x = 662,456,174,674,176
  5. Step 5: Solve for x
    x = 662,456,174,674,176/11,924,875
  6. Step 6: Final answer
    x = 55,552,462.79

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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.