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Finding the Third Proportional to 6,650,474 and 14,295,488

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Solution

The third proportional to 6,650,474 and 14,295,488 is: 30,728,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650,474 : 14,295,488 = 14,295,488 : x
  2. Step 2: Convert to fraction form
    6,650,474/14,295,488 = 14,295,488/x
  3. Step 3: Cross multiply
    6,650,474x = 14,295,488 × 14,295,488
  4. Step 4: Simplify right side
    6,650,474x = 204,360,977,158,144
  5. Step 5: Solve for x
    x = 204,360,977,158,144/6,650,474
  6. Step 6: Final answer
    x = 30,728,783.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.