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Finding the Third Proportional to 6,694,014 and 14,576,409

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Solution

The third proportional to 6,694,014 and 14,576,409 is: 31,740,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694,014 : 14,576,409 = 14,576,409 : x
  2. Step 2: Convert to fraction form
    6,694,014/14,576,409 = 14,576,409/x
  3. Step 3: Cross multiply
    6,694,014x = 14,576,409 × 14,576,409
  4. Step 4: Simplify right side
    6,694,014x = 212,471,699,335,281
  5. Step 5: Solve for x
    x = 212,471,699,335,281/6,694,014
  6. Step 6: Final answer
    x = 31,740,551.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.