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Finding the Third Proportional to 5,191,458,471,718 and 7,631,674,252,781

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Solution

The third proportional to 5,191,458,471,718 and 7,631,674,252,781 is: 11,218,899,701,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191,458,471,718 : 7,631,674,252,781 = 7,631,674,252,781 : x
  2. Step 2: Convert to fraction form
    5,191,458,471,718/7,631,674,252,781 = 7,631,674,252,781/x
  3. Step 3: Cross multiply
    5,191,458,471,718x = 7,631,674,252,781 × 7,631,674,252,781
  4. Step 4: Simplify right side
    5,191,458,471,718x = 58,242,451,900,560,432,628,236,288
  5. Step 5: Solve for x
    x = 58,242,451,900,560,432,628,236,288/5,191,458,471,718
  6. Step 6: Final answer
    x = 11,218,899,701,857.07

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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.