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Finding the Third Proportional to 17,022,724 and 25,473,773

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Solution

The third proportional to 17,022,724 and 25,473,773 is: 38,120,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022,724 : 25,473,773 = 25,473,773 : x
  2. Step 2: Convert to fraction form
    17,022,724/25,473,773 = 25,473,773/x
  3. Step 3: Cross multiply
    17,022,724x = 25,473,773 × 25,473,773
  4. Step 4: Simplify right side
    17,022,724x = 648,913,110,855,529
  5. Step 5: Solve for x
    x = 648,913,110,855,529/17,022,724
  6. Step 6: Final answer
    x = 38,120,403.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.