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Finding the Third Proportional to 44,363,173,224 and 98,645,318,704

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Solution

The third proportional to 44,363,173,224 and 98,645,318,704 is: 219,346,322,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,363,173,224 : 98,645,318,704 = 98,645,318,704 : x
  2. Step 2: Convert to fraction form
    44,363,173,224/98,645,318,704 = 98,645,318,704/x
  3. Step 3: Cross multiply
    44,363,173,224x = 98,645,318,704 × 98,645,318,704
  4. Step 4: Simplify right side
    44,363,173,224x = 9,730,898,902,213,732,597,760
  5. Step 5: Solve for x
    x = 9,730,898,902,213,732,597,760/44,363,173,224
  6. Step 6: Final answer
    x = 219,346,322,524.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.