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Finding the Third Proportional to 4,709,126 and 9,844,636

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Solution

The third proportional to 4,709,126 and 9,844,636 is: 20,580,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,126 : 9,844,636 = 9,844,636 : x
  2. Step 2: Convert to fraction form
    4,709,126/9,844,636 = 9,844,636/x
  3. Step 3: Cross multiply
    4,709,126x = 9,844,636 × 9,844,636
  4. Step 4: Simplify right side
    4,709,126x = 96,916,857,972,496
  5. Step 5: Solve for x
    x = 96,916,857,972,496/4,709,126
  6. Step 6: Final answer
    x = 20,580,646.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.