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Finding the Third Proportional to 4,615,886 and 10,684,936

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Solution

The third proportional to 4,615,886 and 10,684,936 is: 24,733,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,886 : 10,684,936 = 10,684,936 : x
  2. Step 2: Convert to fraction form
    4,615,886/10,684,936 = 10,684,936/x
  3. Step 3: Cross multiply
    4,615,886x = 10,684,936 × 10,684,936
  4. Step 4: Simplify right side
    4,615,886x = 114,167,857,324,096
  5. Step 5: Solve for x
    x = 114,167,857,324,096/4,615,886
  6. Step 6: Final answer
    x = 24,733,682.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.