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Finding the Third Proportional to 50,538,638.75 and 77,633,531

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Solution

The third proportional to 50,538,638.75 and 77,633,531 is: 119,254,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538,638.75 : 77,633,531 = 77,633,531 : x
  2. Step 2: Convert to fraction form
    50,538,638.75/77,633,531 = 77,633,531/x
  3. Step 3: Cross multiply
    50,538,638.75x = 77,633,531 × 77,633,531
  4. Step 4: Simplify right side
    50,538,638.75x = 6,026,965,135,527,961
  5. Step 5: Solve for x
    x = 6,026,965,135,527,961/50,538,638.75
  6. Step 6: Final answer
    x = 119,254,599.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.