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Finding the Third Proportional to 4,305,254,892 and 6,738,899,770

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Solution

The third proportional to 4,305,254,892 and 6,738,899,770 is: 10,548,218,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,254,892 : 6,738,899,770 = 6,738,899,770 : x
  2. Step 2: Convert to fraction form
    4,305,254,892/6,738,899,770 = 6,738,899,770/x
  3. Step 3: Cross multiply
    4,305,254,892x = 6,738,899,770 × 6,738,899,770
  4. Step 4: Simplify right side
    4,305,254,892x = 45,412,770,110,106,050,560
  5. Step 5: Solve for x
    x = 45,412,770,110,106,050,560/4,305,254,892
  6. Step 6: Final answer
    x = 10,548,218,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.