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Finding the Third Proportional to 672,260,939,035.50 and 1,451,859,024,501

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Solution

The third proportional to 672,260,939,035.50 and 1,451,859,024,501 is: 3,135,530,423,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,260,939,035.50 : 1,451,859,024,501 = 1,451,859,024,501 : x
  2. Step 2: Convert to fraction form
    672,260,939,035.50/1,451,859,024,501 = 1,451,859,024,501/x
  3. Step 3: Cross multiply
    672,260,939,035.50x = 1,451,859,024,501 × 1,451,859,024,501
  4. Step 4: Simplify right side
    672,260,939,035.50x = 2,107,894,627,024,995,363,061,760
  5. Step 5: Solve for x
    x = 2,107,894,627,024,995,363,061,760/672,260,939,035.50
  6. Step 6: Final answer
    x = 3,135,530,423,720.91

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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.