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Finding the Third Proportional to 11,357,936 and 24,632,224

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Solution

The third proportional to 11,357,936 and 24,632,224 is: 53,420,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357,936 : 24,632,224 = 24,632,224 : x
  2. Step 2: Convert to fraction form
    11,357,936/24,632,224 = 24,632,224/x
  3. Step 3: Cross multiply
    11,357,936x = 24,632,224 × 24,632,224
  4. Step 4: Simplify right side
    11,357,936x = 606,746,459,186,176
  5. Step 5: Solve for x
    x = 606,746,459,186,176/11,357,936
  6. Step 6: Final answer
    x = 53,420,485.83

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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.