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Finding the Third Proportional to 7,883,638 and 16,997,827

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Solution

The third proportional to 7,883,638 and 16,997,827 is: 36,648,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,638 : 16,997,827 = 16,997,827 : x
  2. Step 2: Convert to fraction form
    7,883,638/16,997,827 = 16,997,827/x
  3. Step 3: Cross multiply
    7,883,638x = 16,997,827 × 16,997,827
  4. Step 4: Simplify right side
    7,883,638x = 288,926,122,721,929
  5. Step 5: Solve for x
    x = 288,926,122,721,929/7,883,638
  6. Step 6: Final answer
    x = 36,648,831.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.