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Finding the Third Proportional to 6,576,057 and 14,409,234

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Solution

The third proportional to 6,576,057 and 14,409,234 is: 31,573,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,057 : 14,409,234 = 14,409,234 : x
  2. Step 2: Convert to fraction form
    6,576,057/14,409,234 = 14,409,234/x
  3. Step 3: Cross multiply
    6,576,057x = 14,409,234 × 14,409,234
  4. Step 4: Simplify right side
    6,576,057x = 207,626,024,466,756
  5. Step 5: Solve for x
    x = 207,626,024,466,756/6,576,057
  6. Step 6: Final answer
    x = 31,573,026.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.