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Finding the Third Proportional to 11,184,232 and 24,461,816

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Solution

The third proportional to 11,184,232 and 24,461,816 is: 53,502,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184,232 : 24,461,816 = 24,461,816 : x
  2. Step 2: Convert to fraction form
    11,184,232/24,461,816 = 24,461,816/x
  3. Step 3: Cross multiply
    11,184,232x = 24,461,816 × 24,461,816
  4. Step 4: Simplify right side
    11,184,232x = 598,380,442,017,856
  5. Step 5: Solve for x
    x = 598,380,442,017,856/11,184,232
  6. Step 6: Final answer
    x = 53,502,148.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.