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Finding the Third Proportional to 6,472,224 and 14,021,424

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Solution

The third proportional to 6,472,224 and 14,021,424 is: 30,376,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,224 : 14,021,424 = 14,021,424 : x
  2. Step 2: Convert to fraction form
    6,472,224/14,021,424 = 14,021,424/x
  3. Step 3: Cross multiply
    6,472,224x = 14,021,424 × 14,021,424
  4. Step 4: Simplify right side
    6,472,224x = 196,600,330,987,776
  5. Step 5: Solve for x
    x = 196,600,330,987,776/6,472,224
  6. Step 6: Final answer
    x = 30,376,008.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.