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Finding the Third Proportional to 10,431,398 and 15,957,201

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Solution

The third proportional to 10,431,398 and 15,957,201 is: 24,410,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431,398 : 15,957,201 = 15,957,201 : x
  2. Step 2: Convert to fraction form
    10,431,398/15,957,201 = 15,957,201/x
  3. Step 3: Cross multiply
    10,431,398x = 15,957,201 × 15,957,201
  4. Step 4: Simplify right side
    10,431,398x = 254,632,263,754,401
  5. Step 5: Solve for x
    x = 254,632,263,754,401/10,431,398
  6. Step 6: Final answer
    x = 24,410,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.