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Finding the Third Proportional to 3,884,310,092 and 5,678,997,182

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Solution

The third proportional to 3,884,310,092 and 5,678,997,182 is: 8,302,892,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,310,092 : 5,678,997,182 = 5,678,997,182 : x
  2. Step 2: Convert to fraction form
    3,884,310,092/5,678,997,182 = 5,678,997,182/x
  3. Step 3: Cross multiply
    3,884,310,092x = 5,678,997,182 × 5,678,997,182
  4. Step 4: Simplify right side
    3,884,310,092x = 32,251,008,993,163,939,840
  5. Step 5: Solve for x
    x = 32,251,008,993,163,939,840/3,884,310,092
  6. Step 6: Final answer
    x = 8,302,892,464.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.