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Finding the Third Proportional to 9,771,648 and 20,841,696

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Solution

The third proportional to 9,771,648 and 20,841,696 is: 44,452,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771,648 : 20,841,696 = 20,841,696 : x
  2. Step 2: Convert to fraction form
    9,771,648/20,841,696 = 20,841,696/x
  3. Step 3: Cross multiply
    9,771,648x = 20,841,696 × 20,841,696
  4. Step 4: Simplify right side
    9,771,648x = 434,376,292,156,416
  5. Step 5: Solve for x
    x = 434,376,292,156,416/9,771,648
  6. Step 6: Final answer
    x = 44,452,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.