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Finding the Third Proportional to 6,493,216 and 10,281,296

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Solution

The third proportional to 6,493,216 and 10,281,296 is: 16,279,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,216 : 10,281,296 = 10,281,296 : x
  2. Step 2: Convert to fraction form
    6,493,216/10,281,296 = 10,281,296/x
  3. Step 3: Cross multiply
    6,493,216x = 10,281,296 × 10,281,296
  4. Step 4: Simplify right side
    6,493,216x = 105,705,047,439,616
  5. Step 5: Solve for x
    x = 105,705,047,439,616/6,493,216
  6. Step 6: Final answer
    x = 16,279,305.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.