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Finding the Third Proportional to 6,416,425 and 14,267,460

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Solution

The third proportional to 6,416,425 and 14,267,460 is: 31,724,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,425 : 14,267,460 = 14,267,460 : x
  2. Step 2: Convert to fraction form
    6,416,425/14,267,460 = 14,267,460/x
  3. Step 3: Cross multiply
    6,416,425x = 14,267,460 × 14,267,460
  4. Step 4: Simplify right side
    6,416,425x = 203,560,414,851,600
  5. Step 5: Solve for x
    x = 203,560,414,851,600/6,416,425
  6. Step 6: Final answer
    x = 31,724,895.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.