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Finding the Third Proportional to 39,461,996,034 and 92,081,172,735

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Solution

The third proportional to 39,461,996,034 and 92,081,172,735 is: 214,863,494,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,996,034 : 92,081,172,735 = 92,081,172,735 : x
  2. Step 2: Convert to fraction form
    39,461,996,034/92,081,172,735 = 92,081,172,735/x
  3. Step 3: Cross multiply
    39,461,996,034x = 92,081,172,735 × 92,081,172,735
  4. Step 4: Simplify right side
    39,461,996,034x = 8,478,942,372,252,907,208,704
  5. Step 5: Solve for x
    x = 8,478,942,372,252,907,208,704/39,461,996,034
  6. Step 6: Final answer
    x = 214,863,494,612.58

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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.