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Finding the Third Proportional to 9,868,494 and 14,802,738

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Solution

The third proportional to 9,868,494 and 14,802,738 is: 22,204,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868,494 : 14,802,738 = 14,802,738 : x
  2. Step 2: Convert to fraction form
    9,868,494/14,802,738 = 14,802,738/x
  3. Step 3: Cross multiply
    9,868,494x = 14,802,738 × 14,802,738
  4. Step 4: Simplify right side
    9,868,494x = 219,121,052,296,644
  5. Step 5: Solve for x
    x = 219,121,052,296,644/9,868,494
  6. Step 6: Final answer
    x = 22,204,102.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.