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Finding the Third Proportional to 347,934,882,753 and 749,045,048,832

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Solution

The third proportional to 347,934,882,753 and 749,045,048,832 is: 1,612,567,503,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,934,882,753 : 749,045,048,832 = 749,045,048,832 : x
  2. Step 2: Convert to fraction form
    347,934,882,753/749,045,048,832 = 749,045,048,832/x
  3. Step 3: Cross multiply
    347,934,882,753x = 749,045,048,832 × 749,045,048,832
  4. Step 4: Simplify right side
    347,934,882,753x = 561,068,485,179,733,253,816,320
  5. Step 5: Solve for x
    x = 561,068,485,179,733,253,816,320/347,934,882,753
  6. Step 6: Final answer
    x = 1,612,567,503,264.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.