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Finding the Third Proportional to 7,827,977.25 and 15,876,058.50

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Solution

The third proportional to 7,827,977.25 and 15,876,058.50 is: 32,198,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,977.25 : 15,876,058.50 = 15,876,058.50 : x
  2. Step 2: Convert to fraction form
    7,827,977.25/15,876,058.50 = 15,876,058.50/x
  3. Step 3: Cross multiply
    7,827,977.25x = 15,876,058.50 × 15,876,058.50
  4. Step 4: Simplify right side
    7,827,977.25x = 252,049,233,495,422.25
  5. Step 5: Solve for x
    x = 252,049,233,495,422.25/7,827,977.25
  6. Step 6: Final answer
    x = 32,198,513.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.