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Finding the Third Proportional to 39,976,370,425,188 and 87,049,726,114,614

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Solution

The third proportional to 39,976,370,425,188 and 87,049,726,114,614 is: 189,553,347,040,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976,370,425,188 : 87,049,726,114,614 = 87,049,726,114,614 : x
  2. Step 2: Convert to fraction form
    39,976,370,425,188/87,049,726,114,614 = 87,049,726,114,614/x
  3. Step 3: Cross multiply
    39,976,370,425,188x = 87,049,726,114,614 × 87,049,726,114,614
  4. Step 4: Simplify right side
    39,976,370,425,188x = 7,577,654,816,629,310,537,406,087,168
  5. Step 5: Solve for x
    x = 7,577,654,816,629,310,537,406,087,168/39,976,370,425,188
  6. Step 6: Final answer
    x = 189,553,347,040,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.