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Finding the Third Proportional to 11,192,386 and 24,097,148

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Solution

The third proportional to 11,192,386 and 24,097,148 is: 51,881,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192,386 : 24,097,148 = 24,097,148 : x
  2. Step 2: Convert to fraction form
    11,192,386/24,097,148 = 24,097,148/x
  3. Step 3: Cross multiply
    11,192,386x = 24,097,148 × 24,097,148
  4. Step 4: Simplify right side
    11,192,386x = 580,672,541,733,904
  5. Step 5: Solve for x
    x = 580,672,541,733,904/11,192,386
  6. Step 6: Final answer
    x = 51,881,032.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.