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Finding the Third Proportional to 4,439,796,434,096 and 7,064,588,920,216

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Solution

The third proportional to 4,439,796,434,096 and 7,064,588,920,216 is: 11,241,149,758,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439,796,434,096 : 7,064,588,920,216 = 7,064,588,920,216 : x
  2. Step 2: Convert to fraction form
    4,439,796,434,096/7,064,588,920,216 = 7,064,588,920,216/x
  3. Step 3: Cross multiply
    4,439,796,434,096x = 7,064,588,920,216 × 7,064,588,920,216
  4. Step 4: Simplify right side
    4,439,796,434,096x = 49,908,416,611,638,667,127,029,760
  5. Step 5: Solve for x
    x = 49,908,416,611,638,667,127,029,760/4,439,796,434,096
  6. Step 6: Final answer
    x = 11,241,149,758,209.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.