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Finding the Third Proportional to 5,667,340,128 and 8,889,578,860

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Solution

The third proportional to 5,667,340,128 and 8,889,578,860 is: 13,943,862,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,340,128 : 8,889,578,860 = 8,889,578,860 : x
  2. Step 2: Convert to fraction form
    5,667,340,128/8,889,578,860 = 8,889,578,860/x
  3. Step 3: Cross multiply
    5,667,340,128x = 8,889,578,860 × 8,889,578,860
  4. Step 4: Simplify right side
    5,667,340,128x = 79,024,612,308,158,906,368
  5. Step 5: Solve for x
    x = 79,024,612,308,158,906,368/5,667,340,128
  6. Step 6: Final answer
    x = 13,943,862,645.15

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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.