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Finding the Third Proportional to 2,892,978,536 and 6,279,134,968

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Solution

The third proportional to 2,892,978,536 and 6,279,134,968 is: 13,628,699,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892,978,536 : 6,279,134,968 = 6,279,134,968 : x
  2. Step 2: Convert to fraction form
    2,892,978,536/6,279,134,968 = 6,279,134,968/x
  3. Step 3: Cross multiply
    2,892,978,536x = 6,279,134,968 × 6,279,134,968
  4. Step 4: Simplify right side
    2,892,978,536x = 39,427,535,946,360,365,056
  5. Step 5: Solve for x
    x = 39,427,535,946,360,365,056/2,892,978,536
  6. Step 6: Final answer
    x = 13,628,699,783.19

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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.