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Finding the Third Proportional to 3,965,586,072 and 5,932,656,295

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Solution

The third proportional to 3,965,586,072 and 5,932,656,295 is: 8,875,462,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,586,072 : 5,932,656,295 = 5,932,656,295 : x
  2. Step 2: Convert to fraction form
    3,965,586,072/5,932,656,295 = 5,932,656,295/x
  3. Step 3: Cross multiply
    3,965,586,072x = 5,932,656,295 × 5,932,656,295
  4. Step 4: Simplify right side
    3,965,586,072x = 35,196,410,714,603,126,784
  5. Step 5: Solve for x
    x = 35,196,410,714,603,126,784/3,965,586,072
  6. Step 6: Final answer
    x = 8,875,462,561.04

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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.