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Finding the Third Proportional to 11,393,705,735,448 and 15,372,784,217,010

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Solution

The third proportional to 11,393,705,735,448 and 15,372,784,217,010 is: 20,741,495,354,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393,705,735,448 : 15,372,784,217,010 = 15,372,784,217,010 : x
  2. Step 2: Convert to fraction form
    11,393,705,735,448/15,372,784,217,010 = 15,372,784,217,010/x
  3. Step 3: Cross multiply
    11,393,705,735,448x = 15,372,784,217,010 × 15,372,784,217,010
  4. Step 4: Simplify right side
    11,393,705,735,448x = 236,322,494,582,751,747,865,837,568
  5. Step 5: Solve for x
    x = 236,322,494,582,751,747,865,837,568/11,393,705,735,448
  6. Step 6: Final answer
    x = 20,741,495,354,536.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.