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Finding the Third Proportional to 10,768,114 and 16,280,372

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Solution

The third proportional to 10,768,114 and 16,280,372 is: 24,614,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,114 : 16,280,372 = 16,280,372 : x
  2. Step 2: Convert to fraction form
    10,768,114/16,280,372 = 16,280,372/x
  3. Step 3: Cross multiply
    10,768,114x = 16,280,372 × 16,280,372
  4. Step 4: Simplify right side
    10,768,114x = 265,050,512,458,384
  5. Step 5: Solve for x
    x = 265,050,512,458,384/10,768,114
  6. Step 6: Final answer
    x = 24,614,385.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.