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Finding the Third Proportional to 11,282,323 and 24,360,174

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Solution

The third proportional to 11,282,323 and 24,360,174 is: 52,597,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282,323 : 24,360,174 = 24,360,174 : x
  2. Step 2: Convert to fraction form
    11,282,323/24,360,174 = 24,360,174/x
  3. Step 3: Cross multiply
    11,282,323x = 24,360,174 × 24,360,174
  4. Step 4: Simplify right side
    11,282,323x = 593,418,077,310,276
  5. Step 5: Solve for x
    x = 593,418,077,310,276/11,282,323
  6. Step 6: Final answer
    x = 52,597,153.73

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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.