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Finding the Third Proportional to 10,012,198 and 15,510,207

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Solution

The third proportional to 10,012,198 and 15,510,207 is: 24,027,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,198 : 15,510,207 = 15,510,207 : x
  2. Step 2: Convert to fraction form
    10,012,198/15,510,207 = 15,510,207/x
  3. Step 3: Cross multiply
    10,012,198x = 15,510,207 × 15,510,207
  4. Step 4: Simplify right side
    10,012,198x = 240,566,521,182,849
  5. Step 5: Solve for x
    x = 240,566,521,182,849/10,012,198
  6. Step 6: Final answer
    x = 24,027,343.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.