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Finding the Third Proportional to 4,676,906 and 10,200,172

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Solution

The third proportional to 4,676,906 and 10,200,172 is: 22,246,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,906 : 10,200,172 = 10,200,172 : x
  2. Step 2: Convert to fraction form
    4,676,906/10,200,172 = 10,200,172/x
  3. Step 3: Cross multiply
    4,676,906x = 10,200,172 × 10,200,172
  4. Step 4: Simplify right side
    4,676,906x = 104,043,508,829,584
  5. Step 5: Solve for x
    x = 104,043,508,829,584/4,676,906
  6. Step 6: Final answer
    x = 22,246,226.21

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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.