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Finding the Third Proportional to 4,732,832 and 10,366,171

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Solution

The third proportional to 4,732,832 and 10,366,171 is: 22,704,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,832 : 10,366,171 = 10,366,171 : x
  2. Step 2: Convert to fraction form
    4,732,832/10,366,171 = 10,366,171/x
  3. Step 3: Cross multiply
    4,732,832x = 10,366,171 × 10,366,171
  4. Step 4: Simplify right side
    4,732,832x = 107,457,501,201,241
  5. Step 5: Solve for x
    x = 107,457,501,201,241/4,732,832
  6. Step 6: Final answer
    x = 22,704,693.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.