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Finding the Third Proportional to 10,180,320 and 21,954,720

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Solution

The third proportional to 10,180,320 and 21,954,720 is: 47,347,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,320 : 21,954,720 = 21,954,720 : x
  2. Step 2: Convert to fraction form
    10,180,320/21,954,720 = 21,954,720/x
  3. Step 3: Cross multiply
    10,180,320x = 21,954,720 × 21,954,720
  4. Step 4: Simplify right side
    10,180,320x = 482,009,730,278,400
  5. Step 5: Solve for x
    x = 482,009,730,278,400/10,180,320
  6. Step 6: Final answer
    x = 47,347,208.17

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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.