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Finding the Third Proportional to 23,617,837,824 and 52,049,743,284

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Solution

The third proportional to 23,617,837,824 and 52,049,743,284 is: 114,708,882,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617,837,824 : 52,049,743,284 = 52,049,743,284 : x
  2. Step 2: Convert to fraction form
    23,617,837,824/52,049,743,284 = 52,049,743,284/x
  3. Step 3: Cross multiply
    23,617,837,824x = 52,049,743,284 × 52,049,743,284
  4. Step 4: Simplify right side
    23,617,837,824x = 2,709,175,775,930,302,857,216
  5. Step 5: Solve for x
    x = 2,709,175,775,930,302,857,216/23,617,837,824
  6. Step 6: Final answer
    x = 114,708,882,164.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.