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Finding the Third Proportional to 9,691,841,070 and 21,081,793,599

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Solution

The third proportional to 9,691,841,070 and 21,081,793,599 is: 45,857,336,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,841,070 : 21,081,793,599 = 21,081,793,599 : x
  2. Step 2: Convert to fraction form
    9,691,841,070/21,081,793,599 = 21,081,793,599/x
  3. Step 3: Cross multiply
    9,691,841,070x = 21,081,793,599 × 21,081,793,599
  4. Step 4: Simplify right side
    9,691,841,070x = 444,442,021,350,837,387,264
  5. Step 5: Solve for x
    x = 444,442,021,350,837,387,264/9,691,841,070
  6. Step 6: Final answer
    x = 45,857,336,922.97

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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.