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Finding the Third Proportional to 7,883,644 and 16,997,840

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Solution

The third proportional to 7,883,644 and 16,997,840 is: 36,648,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,644 : 16,997,840 = 16,997,840 : x
  2. Step 2: Convert to fraction form
    7,883,644/16,997,840 = 16,997,840/x
  3. Step 3: Cross multiply
    7,883,644x = 16,997,840 × 16,997,840
  4. Step 4: Simplify right side
    7,883,644x = 288,926,564,665,600
  5. Step 5: Solve for x
    x = 288,926,564,665,600/7,883,644
  6. Step 6: Final answer
    x = 36,648,859.93

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Why These Related Problems?

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