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Finding the Third Proportional to 10,323,378 and 16,049,403

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Solution

The third proportional to 10,323,378 and 16,049,403 is: 24,951,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323,378 : 16,049,403 = 16,049,403 : x
  2. Step 2: Convert to fraction form
    10,323,378/16,049,403 = 16,049,403/x
  3. Step 3: Cross multiply
    10,323,378x = 16,049,403 × 16,049,403
  4. Step 4: Simplify right side
    10,323,378x = 257,583,336,656,409
  5. Step 5: Solve for x
    x = 257,583,336,656,409/10,323,378
  6. Step 6: Final answer
    x = 24,951,458.39

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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.