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Finding the Third Proportional to 10,171,942 and 15,257,933

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Solution

The third proportional to 10,171,942 and 15,257,933 is: 22,886,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171,942 : 15,257,933 = 15,257,933 : x
  2. Step 2: Convert to fraction form
    10,171,942/15,257,933 = 15,257,933/x
  3. Step 3: Cross multiply
    10,171,942x = 15,257,933 × 15,257,933
  4. Step 4: Simplify right side
    10,171,942x = 232,804,519,432,489
  5. Step 5: Solve for x
    x = 232,804,519,432,489/10,171,942
  6. Step 6: Final answer
    x = 22,886,929.50

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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.