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Finding the Third Proportional to 72,889,250,874.75 and 113,595,376,991.62

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Solution

The third proportional to 72,889,250,874.75 and 113,595,376,991.62 is: 177,034,466,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,889,250,874.75 : 113,595,376,991.62 = 113,595,376,991.62 : x
  2. Step 2: Convert to fraction form
    72,889,250,874.75/113,595,376,991.62 = 113,595,376,991.62/x
  3. Step 3: Cross multiply
    72,889,250,874.75x = 113,595,376,991.62 × 113,595,376,991.62
  4. Step 4: Simplify right side
    72,889,250,874.75x = 12,903,909,673,868,269,191,168
  5. Step 5: Solve for x
    x = 12,903,909,673,868,269,191,168/72,889,250,874.75
  6. Step 6: Final answer
    x = 177,034,466,934.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.