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Finding the Third Proportional to 3,238,593,984 and 4,975,741,757

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Solution

The third proportional to 3,238,593,984 and 4,975,741,757 is: 7,644,677,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,984 : 4,975,741,757 = 4,975,741,757 : x
  2. Step 2: Convert to fraction form
    3,238,593,984/4,975,741,757 = 4,975,741,757/x
  3. Step 3: Cross multiply
    3,238,593,984x = 4,975,741,757 × 4,975,741,757
  4. Step 4: Simplify right side
    3,238,593,984x = 24,758,006,032,353,447,936
  5. Step 5: Solve for x
    x = 24,758,006,032,353,447,936/3,238,593,984
  6. Step 6: Final answer
    x = 7,644,677,336.73

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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.