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Finding the Third Proportional to 10,180,324 and 21,954,728

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Solution

The third proportional to 10,180,324 and 21,954,728 is: 47,347,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,324 : 21,954,728 = 21,954,728 : x
  2. Step 2: Convert to fraction form
    10,180,324/21,954,728 = 21,954,728/x
  3. Step 3: Cross multiply
    10,180,324x = 21,954,728 × 21,954,728
  4. Step 4: Simplify right side
    10,180,324x = 482,010,081,553,984
  5. Step 5: Solve for x
    x = 482,010,081,553,984/10,180,324
  6. Step 6: Final answer
    x = 47,347,224.07

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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.