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Finding the Third Proportional to 365,407,266 and 862,324,055.25

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Solution

The third proportional to 365,407,266 and 862,324,055.25 is: 2,034,997,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,407,266 : 862,324,055.25 = 862,324,055.25 : x
  2. Step 2: Convert to fraction form
    365,407,266/862,324,055.25 = 862,324,055.25/x
  3. Step 3: Cross multiply
    365,407,266x = 862,324,055.25 × 862,324,055.25
  4. Step 4: Simplify right side
    365,407,266x = 743,602,776,262,804,992
  5. Step 5: Solve for x
    x = 743,602,776,262,804,992/365,407,266
  6. Step 6: Final answer
    x = 2,034,997,235.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.