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Finding the Third Proportional to 10,245,888 and 22,080,768

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Solution

The third proportional to 10,245,888 and 22,080,768 is: 47,585,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245,888 : 22,080,768 = 22,080,768 : x
  2. Step 2: Convert to fraction form
    10,245,888/22,080,768 = 22,080,768/x
  3. Step 3: Cross multiply
    10,245,888x = 22,080,768 × 22,080,768
  4. Step 4: Simplify right side
    10,245,888x = 487,560,315,469,824
  5. Step 5: Solve for x
    x = 487,560,315,469,824/10,245,888
  6. Step 6: Final answer
    x = 47,585,950.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.