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Finding the Third Proportional to 9,691,841,076 and 21,081,793,611

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Solution

The third proportional to 9,691,841,076 and 21,081,793,611 is: 45,857,336,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,841,076 : 21,081,793,611 = 21,081,793,611 : x
  2. Step 2: Convert to fraction form
    9,691,841,076/21,081,793,611 = 21,081,793,611/x
  3. Step 3: Cross multiply
    9,691,841,076x = 21,081,793,611 × 21,081,793,611
  4. Step 4: Simplify right side
    9,691,841,076x = 444,442,021,856,800,407,552
  5. Step 5: Solve for x
    x = 444,442,021,856,800,407,552/9,691,841,076
  6. Step 6: Final answer
    x = 45,857,336,946.78

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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.