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Finding the Third Proportional to 39,461,996,016 and 92,081,172,691.50

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Solution

The third proportional to 39,461,996,016 and 92,081,172,691.50 is: 214,863,494,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,996,016 : 92,081,172,691.50 = 92,081,172,691.50 : x
  2. Step 2: Convert to fraction form
    39,461,996,016/92,081,172,691.50 = 92,081,172,691.50/x
  3. Step 3: Cross multiply
    39,461,996,016x = 92,081,172,691.50 × 92,081,172,691.50
  4. Step 4: Simplify right side
    39,461,996,016x = 8,478,942,364,241,845,288,960
  5. Step 5: Solve for x
    x = 8,478,942,364,241,845,288,960/39,461,996,016
  6. Step 6: Final answer
    x = 214,863,494,507.58

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.