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Finding the Third Proportional to 1,817,532,576 and 3,981,033,216

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Solution

The third proportional to 1,817,532,576 and 3,981,033,216 is: 8,719,857,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,532,576 : 3,981,033,216 = 3,981,033,216 : x
  2. Step 2: Convert to fraction form
    1,817,532,576/3,981,033,216 = 3,981,033,216/x
  3. Step 3: Cross multiply
    1,817,532,576x = 3,981,033,216 × 3,981,033,216
  4. Step 4: Simplify right side
    1,817,532,576x = 15,848,625,466,895,302,656
  5. Step 5: Solve for x
    x = 15,848,625,466,895,302,656/1,817,532,576
  6. Step 6: Final answer
    x = 8,719,857,721.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.