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Finding the Third Proportional to 4,704,537 and 10,205,682

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Solution

The third proportional to 4,704,537 and 10,205,682 is: 22,139,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,537 : 10,205,682 = 10,205,682 : x
  2. Step 2: Convert to fraction form
    4,704,537/10,205,682 = 10,205,682/x
  3. Step 3: Cross multiply
    4,704,537x = 10,205,682 × 10,205,682
  4. Step 4: Simplify right side
    4,704,537x = 104,155,945,085,124
  5. Step 5: Solve for x
    x = 104,155,945,085,124/4,704,537
  6. Step 6: Final answer
    x = 22,139,467.73

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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.