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Finding the Third Proportional to 1,003,737,456 and 2,174,229,296

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Solution

The third proportional to 1,003,737,456 and 2,174,229,296 is: 4,709,670,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,737,456 : 2,174,229,296 = 2,174,229,296 : x
  2. Step 2: Convert to fraction form
    1,003,737,456/2,174,229,296 = 2,174,229,296/x
  3. Step 3: Cross multiply
    1,003,737,456x = 2,174,229,296 × 2,174,229,296
  4. Step 4: Simplify right side
    1,003,737,456x = 4,727,273,031,584,655,360
  5. Step 5: Solve for x
    x = 4,727,273,031,584,655,360/1,003,737,456
  6. Step 6: Final answer
    x = 4,709,670,844.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.