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Finding the Third Proportional to 8,038,770 and 17,473,764

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Solution

The third proportional to 8,038,770 and 17,473,764 is: 37,982,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038,770 : 17,473,764 = 17,473,764 : x
  2. Step 2: Convert to fraction form
    8,038,770/17,473,764 = 17,473,764/x
  3. Step 3: Cross multiply
    8,038,770x = 17,473,764 × 17,473,764
  4. Step 4: Simplify right side
    8,038,770x = 305,332,428,327,696
  5. Step 5: Solve for x
    x = 305,332,428,327,696/8,038,770
  6. Step 6: Final answer
    x = 37,982,480.94

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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.