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Finding the Third Proportional to 16,521,574 and 23,224,913

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Solution

The third proportional to 16,521,574 and 23,224,913 is: 32,648,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,521,574 : 23,224,913 = 23,224,913 : x
  2. Step 2: Convert to fraction form
    16,521,574/23,224,913 = 23,224,913/x
  3. Step 3: Cross multiply
    16,521,574x = 23,224,913 × 23,224,913
  4. Step 4: Simplify right side
    16,521,574x = 539,396,583,857,569
  5. Step 5: Solve for x
    x = 539,396,583,857,569/16,521,574
  6. Step 6: Final answer
    x = 32,648,014.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.