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Finding the Third Proportional to 7,706,741 and 16,576,009

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Solution

The third proportional to 7,706,741 and 16,576,009 is: 35,652,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,741 : 16,576,009 = 16,576,009 : x
  2. Step 2: Convert to fraction form
    7,706,741/16,576,009 = 16,576,009/x
  3. Step 3: Cross multiply
    7,706,741x = 16,576,009 × 16,576,009
  4. Step 4: Simplify right side
    7,706,741x = 274,764,074,368,081
  5. Step 5: Solve for x
    x = 274,764,074,368,081/7,706,741
  6. Step 6: Final answer
    x = 35,652,433.94

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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.