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Finding the Third Proportional to 4,991,174 and 10,218,784

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Solution

The third proportional to 4,991,174 and 10,218,784 is: 20,921,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,174 : 10,218,784 = 10,218,784 : x
  2. Step 2: Convert to fraction form
    4,991,174/10,218,784 = 10,218,784/x
  3. Step 3: Cross multiply
    4,991,174x = 10,218,784 × 10,218,784
  4. Step 4: Simplify right side
    4,991,174x = 104,423,546,438,656
  5. Step 5: Solve for x
    x = 104,423,546,438,656/4,991,174
  6. Step 6: Final answer
    x = 20,921,640.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.