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Finding the Third Proportional to 2,289,257,484 and 4,958,827,978

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Solution

The third proportional to 2,289,257,484 and 4,958,827,978 is: 10,741,463,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,484 : 4,958,827,978 = 4,958,827,978 : x
  2. Step 2: Convert to fraction form
    2,289,257,484/4,958,827,978 = 4,958,827,978/x
  3. Step 3: Cross multiply
    2,289,257,484x = 4,958,827,978 × 4,958,827,978
  4. Step 4: Simplify right side
    2,289,257,484x = 24,589,974,915,395,567,616
  5. Step 5: Solve for x
    x = 24,589,974,915,395,567,616/2,289,257,484
  6. Step 6: Final answer
    x = 10,741,463,154.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.