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Finding the Third Proportional to 10,180,022 and 21,954,088

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Solution

The third proportional to 10,180,022 and 21,954,088 is: 47,345,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,022 : 21,954,088 = 21,954,088 : x
  2. Step 2: Convert to fraction form
    10,180,022/21,954,088 = 21,954,088/x
  3. Step 3: Cross multiply
    10,180,022x = 21,954,088 × 21,954,088
  4. Step 4: Simplify right side
    10,180,022x = 481,981,979,911,744
  5. Step 5: Solve for x
    x = 481,981,979,911,744/10,180,022
  6. Step 6: Final answer
    x = 47,345,868.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.