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Finding the Third Proportional to 17,508,769 and 27,970,633

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Solution

The third proportional to 17,508,769 and 27,970,633 is: 44,683,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508,769 : 27,970,633 = 27,970,633 : x
  2. Step 2: Convert to fraction form
    17,508,769/27,970,633 = 27,970,633/x
  3. Step 3: Cross multiply
    17,508,769x = 27,970,633 × 27,970,633
  4. Step 4: Simplify right side
    17,508,769x = 782,356,310,420,689
  5. Step 5: Solve for x
    x = 782,356,310,420,689/17,508,769
  6. Step 6: Final answer
    x = 44,683,684.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.