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Finding the Third Proportional to 9,474,476 and 20,838,100

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Solution

The third proportional to 9,474,476 and 20,838,100 is: 45,831,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,476 : 20,838,100 = 20,838,100 : x
  2. Step 2: Convert to fraction form
    9,474,476/20,838,100 = 20,838,100/x
  3. Step 3: Cross multiply
    9,474,476x = 20,838,100 × 20,838,100
  4. Step 4: Simplify right side
    9,474,476x = 434,226,411,610,000
  5. Step 5: Solve for x
    x = 434,226,411,610,000/9,474,476
  6. Step 6: Final answer
    x = 45,831,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.