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Finding the Third Proportional to 113,370,824,834 and 243,566,245,012

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Solution

The third proportional to 113,370,824,834 and 243,566,245,012 is: 523,278,504,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,370,824,834 : 243,566,245,012 = 243,566,245,012 : x
  2. Step 2: Convert to fraction form
    113,370,824,834/243,566,245,012 = 243,566,245,012/x
  3. Step 3: Cross multiply
    113,370,824,834x = 243,566,245,012 × 243,566,245,012
  4. Step 4: Simplify right side
    113,370,824,834x = 59,324,515,709,245,611,573,248
  5. Step 5: Solve for x
    x = 59,324,515,709,245,611,573,248/113,370,824,834
  6. Step 6: Final answer
    x = 523,278,504,819.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.