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Finding the Third Proportional to 5,672,324 and 12,142,012

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Solution

The third proportional to 5,672,324 and 12,142,012 is: 25,990,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,324 : 12,142,012 = 12,142,012 : x
  2. Step 2: Convert to fraction form
    5,672,324/12,142,012 = 12,142,012/x
  3. Step 3: Cross multiply
    5,672,324x = 12,142,012 × 12,142,012
  4. Step 4: Simplify right side
    5,672,324x = 147,428,455,408,144
  5. Step 5: Solve for x
    x = 147,428,455,408,144/5,672,324
  6. Step 6: Final answer
    x = 25,990,838.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.