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Finding the Third Proportional to 4,616,971 and 10,022,489

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Solution

The third proportional to 4,616,971 and 10,022,489 is: 21,756,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,971 : 10,022,489 = 10,022,489 : x
  2. Step 2: Convert to fraction form
    4,616,971/10,022,489 = 10,022,489/x
  3. Step 3: Cross multiply
    4,616,971x = 10,022,489 × 10,022,489
  4. Step 4: Simplify right side
    4,616,971x = 100,450,285,755,121
  5. Step 5: Solve for x
    x = 100,450,285,755,121/4,616,971
  6. Step 6: Final answer
    x = 21,756,750.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.