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Finding the Third Proportional to 5,432,536 and 11,512,664

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Solution

The third proportional to 5,432,536 and 11,512,664 is: 24,397,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,536 : 11,512,664 = 11,512,664 : x
  2. Step 2: Convert to fraction form
    5,432,536/11,512,664 = 11,512,664/x
  3. Step 3: Cross multiply
    5,432,536x = 11,512,664 × 11,512,664
  4. Step 4: Simplify right side
    5,432,536x = 132,541,432,376,896
  5. Step 5: Solve for x
    x = 132,541,432,376,896/5,432,536
  6. Step 6: Final answer
    x = 24,397,708.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.