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Finding the Third Proportional to 51,331,380 and 114,139,647

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Solution

The third proportional to 51,331,380 and 114,139,647 is: 253,799,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331,380 : 114,139,647 = 114,139,647 : x
  2. Step 2: Convert to fraction form
    51,331,380/114,139,647 = 114,139,647/x
  3. Step 3: Cross multiply
    51,331,380x = 114,139,647 × 114,139,647
  4. Step 4: Simplify right side
    51,331,380x = 13,027,859,017,284,608
  5. Step 5: Solve for x
    x = 13,027,859,017,284,608/51,331,380
  6. Step 6: Final answer
    x = 253,799,118.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.