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Finding the Third Proportional to 11,415,241 and 16,713,324

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Solution

The third proportional to 11,415,241 and 16,713,324 is: 24,470,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415,241 : 16,713,324 = 16,713,324 : x
  2. Step 2: Convert to fraction form
    11,415,241/16,713,324 = 16,713,324/x
  3. Step 3: Cross multiply
    11,415,241x = 16,713,324 × 16,713,324
  4. Step 4: Simplify right side
    11,415,241x = 279,335,199,128,976
  5. Step 5: Solve for x
    x = 279,335,199,128,976/11,415,241
  6. Step 6: Final answer
    x = 24,470,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.