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Finding the Third Proportional to 10,984,665 and 23,922,150

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Solution

The third proportional to 10,984,665 and 23,922,150 is: 52,097,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984,665 : 23,922,150 = 23,922,150 : x
  2. Step 2: Convert to fraction form
    10,984,665/23,922,150 = 23,922,150/x
  3. Step 3: Cross multiply
    10,984,665x = 23,922,150 × 23,922,150
  4. Step 4: Simplify right side
    10,984,665x = 572,269,260,622,500
  5. Step 5: Solve for x
    x = 572,269,260,622,500/10,984,665
  6. Step 6: Final answer
    x = 52,097,106.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.