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Finding the Third Proportional to 3,965,586,070 and 5,932,656,292

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Solution

The third proportional to 3,965,586,070 and 5,932,656,292 is: 8,875,462,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,586,070 : 5,932,656,292 = 5,932,656,292 : x
  2. Step 2: Convert to fraction form
    3,965,586,070/5,932,656,292 = 5,932,656,292/x
  3. Step 3: Cross multiply
    3,965,586,070x = 5,932,656,292 × 5,932,656,292
  4. Step 4: Simplify right side
    3,965,586,070x = 35,196,410,679,007,191,040
  5. Step 5: Solve for x
    x = 35,196,410,679,007,191,040/3,965,586,070
  6. Step 6: Final answer
    x = 8,875,462,556.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.