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Finding the Third Proportional to 6,825,564 and 14,936,760

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Solution

The third proportional to 6,825,564 and 14,936,760 is: 32,686,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,564 : 14,936,760 = 14,936,760 : x
  2. Step 2: Convert to fraction form
    6,825,564/14,936,760 = 14,936,760/x
  3. Step 3: Cross multiply
    6,825,564x = 14,936,760 × 14,936,760
  4. Step 4: Simplify right side
    6,825,564x = 223,106,799,297,600
  5. Step 5: Solve for x
    x = 223,106,799,297,600/6,825,564
  6. Step 6: Final answer
    x = 32,686,939.76

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