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Finding the Third Proportional to 2,692,345,059 and 4,135,771,662

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Solution

The third proportional to 2,692,345,059 and 4,135,771,662 is: 6,353,051,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,345,059 : 4,135,771,662 = 4,135,771,662 : x
  2. Step 2: Convert to fraction form
    2,692,345,059/4,135,771,662 = 4,135,771,662/x
  3. Step 3: Cross multiply
    2,692,345,059x = 4,135,771,662 × 4,135,771,662
  4. Step 4: Simplify right side
    2,692,345,059x = 17,104,607,240,202,242,048
  5. Step 5: Solve for x
    x = 17,104,607,240,202,242,048/2,692,345,059
  6. Step 6: Final answer
    x = 6,353,051,657.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.