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Finding the Third Proportional to 2,741,532,360 and 4,176,578,616

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Solution

The third proportional to 2,741,532,360 and 4,176,578,616 is: 6,362,795,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,532,360 : 4,176,578,616 = 4,176,578,616 : x
  2. Step 2: Convert to fraction form
    2,741,532,360/4,176,578,616 = 4,176,578,616/x
  3. Step 3: Cross multiply
    2,741,532,360x = 4,176,578,616 × 4,176,578,616
  4. Step 4: Simplify right side
    2,741,532,360x = 17,443,808,935,628,476,416
  5. Step 5: Solve for x
    x = 17,443,808,935,628,476,416/2,741,532,360
  6. Step 6: Final answer
    x = 6,362,795,198.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.