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Finding the Third Proportional to 27,519,069 and 64,261,671.75

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Solution

The third proportional to 27,519,069 and 64,261,671.75 is: 150,061,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519,069 : 64,261,671.75 = 64,261,671.75 : x
  2. Step 2: Convert to fraction form
    27,519,069/64,261,671.75 = 64,261,671.75/x
  3. Step 3: Cross multiply
    27,519,069x = 64,261,671.75 × 64,261,671.75
  4. Step 4: Simplify right side
    27,519,069x = 4,129,562,456,104,748
  5. Step 5: Solve for x
    x = 4,129,562,456,104,748/27,519,069
  6. Step 6: Final answer
    x = 150,061,851.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.