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Finding the Third Proportional to 342,691,311 and 522,072,009

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Solution

The third proportional to 342,691,311 and 522,072,009 is: 795,348,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,311 : 522,072,009 = 522,072,009 : x
  2. Step 2: Convert to fraction form
    342,691,311/522,072,009 = 522,072,009/x
  3. Step 3: Cross multiply
    342,691,311x = 522,072,009 × 522,072,009
  4. Step 4: Simplify right side
    342,691,311x = 272,559,182,581,296,096
  5. Step 5: Solve for x
    x = 272,559,182,581,296,096/342,691,311
  6. Step 6: Final answer
    x = 795,348,973.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.