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Finding the Third Proportional to 10,431,684 and 15,957,351

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Solution

The third proportional to 10,431,684 and 15,957,351 is: 24,409,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431,684 : 15,957,351 = 15,957,351 : x
  2. Step 2: Convert to fraction form
    10,431,684/15,957,351 = 15,957,351/x
  3. Step 3: Cross multiply
    10,431,684x = 15,957,351 × 15,957,351
  4. Step 4: Simplify right side
    10,431,684x = 254,637,050,937,201
  5. Step 5: Solve for x
    x = 254,637,050,937,201/10,431,684
  6. Step 6: Final answer
    x = 24,409,965.92

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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.