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Finding the Third Proportional to 9,678,800 and 14,856,576

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Solution

The third proportional to 9,678,800 and 14,856,576 is: 22,804,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678,800 : 14,856,576 = 14,856,576 : x
  2. Step 2: Convert to fraction form
    9,678,800/14,856,576 = 14,856,576/x
  3. Step 3: Cross multiply
    9,678,800x = 14,856,576 × 14,856,576
  4. Step 4: Simplify right side
    9,678,800x = 220,717,850,443,776
  5. Step 5: Solve for x
    x = 220,717,850,443,776/9,678,800
  6. Step 6: Final answer
    x = 22,804,257.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.