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Finding the Third Proportional to 10,257,198 and 16,242,015

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Solution

The third proportional to 10,257,198 and 16,242,015 is: 25,718,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,198 : 16,242,015 = 16,242,015 : x
  2. Step 2: Convert to fraction form
    10,257,198/16,242,015 = 16,242,015/x
  3. Step 3: Cross multiply
    10,257,198x = 16,242,015 × 16,242,015
  4. Step 4: Simplify right side
    10,257,198x = 263,803,051,260,225
  5. Step 5: Solve for x
    x = 263,803,051,260,225/10,257,198
  6. Step 6: Final answer
    x = 25,718,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.