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Finding the Third Proportional to 11,393,705,735,414 and 15,372,784,216,968

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Solution

The third proportional to 11,393,705,735,414 and 15,372,784,216,968 is: 20,741,495,354,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393,705,735,414 : 15,372,784,216,968 = 15,372,784,216,968 : x
  2. Step 2: Convert to fraction form
    11,393,705,735,414/15,372,784,216,968 = 15,372,784,216,968/x
  3. Step 3: Cross multiply
    11,393,705,735,414x = 15,372,784,216,968 × 15,372,784,216,968
  4. Step 4: Simplify right side
    11,393,705,735,414x = 236,322,494,581,460,440,178,491,392
  5. Step 5: Solve for x
    x = 236,322,494,581,460,440,178,491,392/11,393,705,735,414
  6. Step 6: Final answer
    x = 20,741,495,354,485.16

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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.