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Finding the Third Proportional to 4,768,416 and 10,344,144

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Solution

The third proportional to 4,768,416 and 10,344,144 is: 22,439,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,416 : 10,344,144 = 10,344,144 : x
  2. Step 2: Convert to fraction form
    4,768,416/10,344,144 = 10,344,144/x
  3. Step 3: Cross multiply
    4,768,416x = 10,344,144 × 10,344,144
  4. Step 4: Simplify right side
    4,768,416x = 107,001,315,092,736
  5. Step 5: Solve for x
    x = 107,001,315,092,736/4,768,416
  6. Step 6: Final answer
    x = 22,439,593.17

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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.