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Finding the Third Proportional to 38,018,628 and 78,052,738

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Solution

The third proportional to 38,018,628 and 78,052,738 is: 160,243,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018,628 : 78,052,738 = 78,052,738 : x
  2. Step 2: Convert to fraction form
    38,018,628/78,052,738 = 78,052,738/x
  3. Step 3: Cross multiply
    38,018,628x = 78,052,738 × 78,052,738
  4. Step 4: Simplify right side
    38,018,628x = 6,092,229,909,296,644
  5. Step 5: Solve for x
    x = 6,092,229,909,296,644/38,018,628
  6. Step 6: Final answer
    x = 160,243,286.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.