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Finding the Third Proportional to 4,704,543 and 10,205,694

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Solution

The third proportional to 4,704,543 and 10,205,694 is: 22,139,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,543 : 10,205,694 = 10,205,694 : x
  2. Step 2: Convert to fraction form
    4,704,543/10,205,694 = 10,205,694/x
  3. Step 3: Cross multiply
    4,704,543x = 10,205,694 × 10,205,694
  4. Step 4: Simplify right side
    4,704,543x = 104,156,190,021,636
  5. Step 5: Solve for x
    x = 104,156,190,021,636/4,704,543
  6. Step 6: Final answer
    x = 22,139,491.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.