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Finding the Third Proportional to 7,666,096 and 16,762,976

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Solution

The third proportional to 7,666,096 and 16,762,976 is: 36,654,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,096 : 16,762,976 = 16,762,976 : x
  2. Step 2: Convert to fraction form
    7,666,096/16,762,976 = 16,762,976/x
  3. Step 3: Cross multiply
    7,666,096x = 16,762,976 × 16,762,976
  4. Step 4: Simplify right side
    7,666,096x = 280,997,364,376,576
  5. Step 5: Solve for x
    x = 280,997,364,376,576/7,666,096
  6. Step 6: Final answer
    x = 36,654,558.51

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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.