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Finding the Third Proportional to 3,238,593,927.75 and 4,975,741,630.13

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Solution

The third proportional to 3,238,593,927.75 and 4,975,741,630.13 is: 7,644,677,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,927.75 : 4,975,741,630.13 = 4,975,741,630.13 : x
  2. Step 2: Convert to fraction form
    3,238,593,927.75/4,975,741,630.13 = 4,975,741,630.13/x
  3. Step 3: Cross multiply
    3,238,593,927.75x = 4,975,741,630.13 × 4,975,741,630.13
  4. Step 4: Simplify right side
    3,238,593,927.75x = 24,758,004,769,758,990,336
  5. Step 5: Solve for x
    x = 24,758,004,769,758,990,336/3,238,593,927.75
  6. Step 6: Final answer
    x = 7,644,677,079.65

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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.