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Finding the Third Proportional to 17,508,770 and 27,970,635

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Solution

The third proportional to 17,508,770 and 27,970,635 is: 44,683,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508,770 : 27,970,635 = 27,970,635 : x
  2. Step 2: Convert to fraction form
    17,508,770/27,970,635 = 27,970,635/x
  3. Step 3: Cross multiply
    17,508,770x = 27,970,635 × 27,970,635
  4. Step 4: Simplify right side
    17,508,770x = 782,356,422,303,225
  5. Step 5: Solve for x
    x = 782,356,422,303,225/17,508,770
  6. Step 6: Final answer
    x = 44,683,688.36

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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.