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Finding the Third Proportional to 11,749,104,372 and 25,358,840,286

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Solution

The third proportional to 11,749,104,372 and 25,358,840,286 is: 54,733,600,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749,104,372 : 25,358,840,286 = 25,358,840,286 : x
  2. Step 2: Convert to fraction form
    11,749,104,372/25,358,840,286 = 25,358,840,286/x
  3. Step 3: Cross multiply
    11,749,104,372x = 25,358,840,286 × 25,358,840,286
  4. Step 4: Simplify right side
    11,749,104,372x = 643,070,780,650,856,513,536
  5. Step 5: Solve for x
    x = 643,070,780,650,856,513,536/11,749,104,372
  6. Step 6: Final answer
    x = 54,733,600,135.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.