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Finding the Third Proportional to 4,716,177 and 10,104,735

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Solution

The third proportional to 4,716,177 and 10,104,735 is: 21,650,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,177 : 10,104,735 = 10,104,735 : x
  2. Step 2: Convert to fraction form
    4,716,177/10,104,735 = 10,104,735/x
  3. Step 3: Cross multiply
    4,716,177x = 10,104,735 × 10,104,735
  4. Step 4: Simplify right side
    4,716,177x = 102,105,669,420,225
  5. Step 5: Solve for x
    x = 102,105,669,420,225/4,716,177
  6. Step 6: Final answer
    x = 21,650,092.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.