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Finding the Third Proportional to 370,272,456 and 796,269,672

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Solution

The third proportional to 370,272,456 and 796,269,672 is: 1,712,375,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272,456 : 796,269,672 = 796,269,672 : x
  2. Step 2: Convert to fraction form
    370,272,456/796,269,672 = 796,269,672/x
  3. Step 3: Cross multiply
    370,272,456x = 796,269,672 × 796,269,672
  4. Step 4: Simplify right side
    370,272,456x = 634,045,390,546,987,520
  5. Step 5: Solve for x
    x = 634,045,390,546,987,520/370,272,456
  6. Step 6: Final answer
    x = 1,712,375,253.07

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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.