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Finding the Third Proportional to 10,966,549 and 23,761,745

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Solution

The third proportional to 10,966,549 and 23,761,745 is: 51,485,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,549 : 23,761,745 = 23,761,745 : x
  2. Step 2: Convert to fraction form
    10,966,549/23,761,745 = 23,761,745/x
  3. Step 3: Cross multiply
    10,966,549x = 23,761,745 × 23,761,745
  4. Step 4: Simplify right side
    10,966,549x = 564,620,525,445,025
  5. Step 5: Solve for x
    x = 564,620,525,445,025/10,966,549
  6. Step 6: Final answer
    x = 51,485,706.71

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Why These Related Problems?

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