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Finding the Third Proportional to 51,932,032 and 112,481,755

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Solution

The third proportional to 51,932,032 and 112,481,755 is: 243,628,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932,032 : 112,481,755 = 112,481,755 : x
  2. Step 2: Convert to fraction form
    51,932,032/112,481,755 = 112,481,755/x
  3. Step 3: Cross multiply
    51,932,032x = 112,481,755 × 112,481,755
  4. Step 4: Simplify right side
    51,932,032x = 12,652,145,207,880,024
  5. Step 5: Solve for x
    x = 12,652,145,207,880,024/51,932,032
  6. Step 6: Final answer
    x = 243,628,926.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.