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Finding the Third Proportional to 10,198,270 and 15,814,391

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Solution

The third proportional to 10,198,270 and 15,814,391 is: 24,523,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,270 : 15,814,391 = 15,814,391 : x
  2. Step 2: Convert to fraction form
    10,198,270/15,814,391 = 15,814,391/x
  3. Step 3: Cross multiply
    10,198,270x = 15,814,391 × 15,814,391
  4. Step 4: Simplify right side
    10,198,270x = 250,094,962,700,881
  5. Step 5: Solve for x
    x = 250,094,962,700,881/10,198,270
  6. Step 6: Final answer
    x = 24,523,273.33

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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.