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Finding the Third Proportional to 12,433,829 and 26,757,226

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Solution

The third proportional to 12,433,829 and 26,757,226 is: 57,580,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433,829 : 26,757,226 = 26,757,226 : x
  2. Step 2: Convert to fraction form
    12,433,829/26,757,226 = 26,757,226/x
  3. Step 3: Cross multiply
    12,433,829x = 26,757,226 × 26,757,226
  4. Step 4: Simplify right side
    12,433,829x = 715,949,143,215,076
  5. Step 5: Solve for x
    x = 715,949,143,215,076/12,433,829
  6. Step 6: Final answer
    x = 57,580,745.50

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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.