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Finding the Third Proportional to 10,180,500 and 21,955,080

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Solution

The third proportional to 10,180,500 and 21,955,080 is: 47,347,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,500 : 21,955,080 = 21,955,080 : x
  2. Step 2: Convert to fraction form
    10,180,500/21,955,080 = 21,955,080/x
  3. Step 3: Cross multiply
    10,180,500x = 21,955,080 × 21,955,080
  4. Step 4: Simplify right side
    10,180,500x = 482,025,537,806,400
  5. Step 5: Solve for x
    x = 482,025,537,806,400/10,180,500
  6. Step 6: Final answer
    x = 47,347,923.76

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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.