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Finding the Third Proportional to 4,831,639.50 and 10,419,844

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Solution

The third proportional to 4,831,639.50 and 10,419,844 is: 22,471,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831,639.50 : 10,419,844 = 10,419,844 : x
  2. Step 2: Convert to fraction form
    4,831,639.50/10,419,844 = 10,419,844/x
  3. Step 3: Cross multiply
    4,831,639.50x = 10,419,844 × 10,419,844
  4. Step 4: Simplify right side
    4,831,639.50x = 108,573,148,984,336
  5. Step 5: Solve for x
    x = 108,573,148,984,336/4,831,639.50
  6. Step 6: Final answer
    x = 22,471,285.16

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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.