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Finding the Third Proportional to 7,726,311 and 10,493,361

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Solution

The third proportional to 7,726,311 and 10,493,361 is: 14,251,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,311 : 10,493,361 = 10,493,361 : x
  2. Step 2: Convert to fraction form
    7,726,311/10,493,361 = 10,493,361/x
  3. Step 3: Cross multiply
    7,726,311x = 10,493,361 × 10,493,361
  4. Step 4: Simplify right side
    7,726,311x = 110,110,625,076,321
  5. Step 5: Solve for x
    x = 110,110,625,076,321/7,726,311
  6. Step 6: Final answer
    x = 14,251,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.