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Finding the Third Proportional to 11,633,184 and 24,759,360

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Solution

The third proportional to 11,633,184 and 24,759,360 is: 52,696,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633,184 : 24,759,360 = 24,759,360 : x
  2. Step 2: Convert to fraction form
    11,633,184/24,759,360 = 24,759,360/x
  3. Step 3: Cross multiply
    11,633,184x = 24,759,360 × 24,759,360
  4. Step 4: Simplify right side
    11,633,184x = 613,025,907,609,600
  5. Step 5: Solve for x
    x = 613,025,907,609,600/11,633,184
  6. Step 6: Final answer
    x = 52,696,313.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.