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Finding the Third Proportional to 73,126,919,026 and 148,310,000,494

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Solution

The third proportional to 73,126,919,026 and 148,310,000,494 is: 300,790,140,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,126,919,026 : 148,310,000,494 = 148,310,000,494 : x
  2. Step 2: Convert to fraction form
    73,126,919,026/148,310,000,494 = 148,310,000,494/x
  3. Step 3: Cross multiply
    73,126,919,026x = 148,310,000,494 × 148,310,000,494
  4. Step 4: Simplify right side
    73,126,919,026x = 21,995,856,246,530,279,211,008
  5. Step 5: Solve for x
    x = 21,995,856,246,530,279,211,008/73,126,919,026
  6. Step 6: Final answer
    x = 300,790,140,477.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.