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Finding the Third Proportional to 318,840,810,770.82 and 702,671,534,865.58

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Solution

The third proportional to 318,840,810,770.82 and 702,671,534,865.58 is: 1,548,569,910,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,810,770.82 : 702,671,534,865.58 = 702,671,534,865.58 : x
  2. Step 2: Convert to fraction form
    318,840,810,770.82/702,671,534,865.58 = 702,671,534,865.58/x
  3. Step 3: Cross multiply
    318,840,810,770.82x = 702,671,534,865.58 × 702,671,534,865.58
  4. Step 4: Simplify right side
    318,840,810,770.82x = 493,747,285,910,349,928,202,240
  5. Step 5: Solve for x
    x = 493,747,285,910,349,928,202,240/318,840,810,770.82
  6. Step 6: Final answer
    x = 1,548,569,910,848.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.