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Finding the Third Proportional to 24,424,159 and 37,784,009

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Solution

The third proportional to 24,424,159 and 37,784,009 is: 58,451,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424,159 : 37,784,009 = 37,784,009 : x
  2. Step 2: Convert to fraction form
    24,424,159/37,784,009 = 37,784,009/x
  3. Step 3: Cross multiply
    24,424,159x = 37,784,009 × 37,784,009
  4. Step 4: Simplify right side
    24,424,159x = 1,427,631,336,112,081
  5. Step 5: Solve for x
    x = 1,427,631,336,112,081/24,424,159
  6. Step 6: Final answer
    x = 58,451,606.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.