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Finding the Third Proportional to 4,873,830,992 and 7,425,022,584

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Solution

The third proportional to 4,873,830,992 and 7,425,022,584 is: 11,311,627,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873,830,992 : 7,425,022,584 = 7,425,022,584 : x
  2. Step 2: Convert to fraction form
    4,873,830,992/7,425,022,584 = 7,425,022,584/x
  3. Step 3: Cross multiply
    4,873,830,992x = 7,425,022,584 × 7,425,022,584
  4. Step 4: Simplify right side
    4,873,830,992x = 55,130,960,372,910,039,040
  5. Step 5: Solve for x
    x = 55,130,960,372,910,039,040/4,873,830,992
  6. Step 6: Final answer
    x = 11,311,627,437.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.