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Finding the Third Proportional to 5,432,592 and 11,512,768

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Solution

The third proportional to 5,432,592 and 11,512,768 is: 24,397,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,592 : 11,512,768 = 11,512,768 : x
  2. Step 2: Convert to fraction form
    5,432,592/11,512,768 = 11,512,768/x
  3. Step 3: Cross multiply
    5,432,592x = 11,512,768 × 11,512,768
  4. Step 4: Simplify right side
    5,432,592x = 132,543,827,021,824
  5. Step 5: Solve for x
    x = 132,543,827,021,824/5,432,592
  6. Step 6: Final answer
    x = 24,397,898.28

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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.