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Finding the Third Proportional to 39,461,996,032 and 92,081,172,730

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Solution

The third proportional to 39,461,996,032 and 92,081,172,730 is: 214,863,494,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,996,032 : 92,081,172,730 = 92,081,172,730 : x
  2. Step 2: Convert to fraction form
    39,461,996,032/92,081,172,730 = 92,081,172,730/x
  3. Step 3: Cross multiply
    39,461,996,032x = 92,081,172,730 × 92,081,172,730
  4. Step 4: Simplify right side
    39,461,996,032x = 8,478,942,371,332,096,000,000
  5. Step 5: Solve for x
    x = 8,478,942,371,332,096,000,000/39,461,996,032
  6. Step 6: Final answer
    x = 214,863,494,600.13

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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.