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Finding the Third Proportional to 7,799,830 and 17,392,041

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Solution

The third proportional to 7,799,830 and 17,392,041 is: 38,780,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799,830 : 17,392,041 = 17,392,041 : x
  2. Step 2: Convert to fraction form
    7,799,830/17,392,041 = 17,392,041/x
  3. Step 3: Cross multiply
    7,799,830x = 17,392,041 × 17,392,041
  4. Step 4: Simplify right side
    7,799,830x = 302,483,090,145,681
  5. Step 5: Solve for x
    x = 302,483,090,145,681/7,799,830
  6. Step 6: Final answer
    x = 38,780,728.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.