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Finding the Third Proportional to 6,633,576 and 13,935,564

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Solution

The third proportional to 6,633,576 and 13,935,564 is: 29,275,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,576 : 13,935,564 = 13,935,564 : x
  2. Step 2: Convert to fraction form
    6,633,576/13,935,564 = 13,935,564/x
  3. Step 3: Cross multiply
    6,633,576x = 13,935,564 × 13,935,564
  4. Step 4: Simplify right side
    6,633,576x = 194,199,943,998,096
  5. Step 5: Solve for x
    x = 194,199,943,998,096/6,633,576
  6. Step 6: Final answer
    x = 29,275,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.