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Finding the Third Proportional to 10,093,896 and 15,137,137

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Solution

The third proportional to 10,093,896 and 15,137,137 is: 22,700,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,896 : 15,137,137 = 15,137,137 : x
  2. Step 2: Convert to fraction form
    10,093,896/15,137,137 = 15,137,137/x
  3. Step 3: Cross multiply
    10,093,896x = 15,137,137 × 15,137,137
  4. Step 4: Simplify right side
    10,093,896x = 229,132,916,556,769
  5. Step 5: Solve for x
    x = 229,132,916,556,769/10,093,896
  6. Step 6: Final answer
    x = 22,700,146.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.