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Finding the Third Proportional to 31,384,584 and 67,578,378

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Solution

The third proportional to 31,384,584 and 67,578,378 is: 145,512,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384,584 : 67,578,378 = 67,578,378 : x
  2. Step 2: Convert to fraction form
    31,384,584/67,578,378 = 67,578,378/x
  3. Step 3: Cross multiply
    31,384,584x = 67,578,378 × 67,578,378
  4. Step 4: Simplify right side
    31,384,584x = 4,566,837,173,110,884
  5. Step 5: Solve for x
    x = 4,566,837,173,110,884/31,384,584
  6. Step 6: Final answer
    x = 145,512,114.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.