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Finding the Third Proportional to 40,447,072 and 57,231,368

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Solution

The third proportional to 40,447,072 and 57,231,368 is: 80,980,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,447,072 : 57,231,368 = 57,231,368 : x
  2. Step 2: Convert to fraction form
    40,447,072/57,231,368 = 57,231,368/x
  3. Step 3: Cross multiply
    40,447,072x = 57,231,368 × 57,231,368
  4. Step 4: Simplify right side
    40,447,072x = 3,275,429,483,151,424
  5. Step 5: Solve for x
    x = 3,275,429,483,151,424/40,447,072
  6. Step 6: Final answer
    x = 80,980,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.