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Finding the Third Proportional to 3,238,593,914 and 4,975,741,608

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Solution

The third proportional to 3,238,593,914 and 4,975,741,608 is: 7,644,677,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,914 : 4,975,741,608 = 4,975,741,608 : x
  2. Step 2: Convert to fraction form
    3,238,593,914/4,975,741,608 = 4,975,741,608/x
  3. Step 3: Cross multiply
    3,238,593,914x = 4,975,741,608 × 4,975,741,608
  4. Step 4: Simplify right side
    3,238,593,914x = 24,758,004,549,582,426,112
  5. Step 5: Solve for x
    x = 24,758,004,549,582,426,112/3,238,593,914
  6. Step 6: Final answer
    x = 7,644,677,044.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.