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Finding the Third Proportional to 35,539,682,022,816 and 72,078,659,096,784

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Solution

The third proportional to 35,539,682,022,816 and 72,078,659,096,784 is: 146,184,006,200,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,539,682,022,816 : 72,078,659,096,784 = 72,078,659,096,784 : x
  2. Step 2: Convert to fraction form
    35,539,682,022,816/72,078,659,096,784 = 72,078,659,096,784/x
  3. Step 3: Cross multiply
    35,539,682,022,816x = 72,078,659,096,784 × 72,078,659,096,784
  4. Step 4: Simplify right side
    35,539,682,022,816x = 5,195,333,097,190,402,810,062,045,184
  5. Step 5: Solve for x
    x = 5,195,333,097,190,402,810,062,045,184/35,539,682,022,816
  6. Step 6: Final answer
    x = 146,184,006,200,592.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.