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Finding the Third Proportional to 6,496,148 and 14,288,296

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Solution

The third proportional to 6,496,148 and 14,288,296 is: 31,427,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,148 : 14,288,296 = 14,288,296 : x
  2. Step 2: Convert to fraction form
    6,496,148/14,288,296 = 14,288,296/x
  3. Step 3: Cross multiply
    6,496,148x = 14,288,296 × 14,288,296
  4. Step 4: Simplify right side
    6,496,148x = 204,155,402,583,616
  5. Step 5: Solve for x
    x = 204,155,402,583,616/6,496,148
  6. Step 6: Final answer
    x = 31,427,147.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.