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Finding the Third Proportional to 5,191,458,471,708 and 7,631,674,252,767

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Solution

The third proportional to 5,191,458,471,708 and 7,631,674,252,767 is: 11,218,899,701,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191,458,471,708 : 7,631,674,252,767 = 7,631,674,252,767 : x
  2. Step 2: Convert to fraction form
    5,191,458,471,708/7,631,674,252,767 = 7,631,674,252,767/x
  3. Step 3: Cross multiply
    5,191,458,471,708x = 7,631,674,252,767 × 7,631,674,252,767
  4. Step 4: Simplify right side
    5,191,458,471,708x = 58,242,451,900,346,749,415,325,696
  5. Step 5: Solve for x
    x = 58,242,451,900,346,749,415,325,696/5,191,458,471,708
  6. Step 6: Final answer
    x = 11,218,899,701,837.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.