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Finding the Third Proportional to 39,461,996,013 and 92,081,172,684

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Solution

The third proportional to 39,461,996,013 and 92,081,172,684 is: 214,863,494,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,996,013 : 92,081,172,684 = 92,081,172,684 : x
  2. Step 2: Convert to fraction form
    39,461,996,013/92,081,172,684 = 92,081,172,684/x
  3. Step 3: Cross multiply
    39,461,996,013x = 92,081,172,684 × 92,081,172,684
  4. Step 4: Simplify right side
    39,461,996,013x = 8,478,942,362,860,627,427,328
  5. Step 5: Solve for x
    x = 8,478,942,362,860,627,427,328/39,461,996,013
  6. Step 6: Final answer
    x = 214,863,494,488.91

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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.