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Finding the Third Proportional to 7,750,778 and 18,103,555

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Solution

The third proportional to 7,750,778 and 18,103,555 is: 42,284,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,778 : 18,103,555 = 18,103,555 : x
  2. Step 2: Convert to fraction form
    7,750,778/18,103,555 = 18,103,555/x
  3. Step 3: Cross multiply
    7,750,778x = 18,103,555 × 18,103,555
  4. Step 4: Simplify right side
    7,750,778x = 327,738,703,638,025
  5. Step 5: Solve for x
    x = 327,738,703,638,025/7,750,778
  6. Step 6: Final answer
    x = 42,284,620.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.