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Finding the Third Proportional to 172,457,522,740.50 and 377,425,815,978

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Solution

The third proportional to 172,457,522,740.50 and 377,425,815,978 is: 826,001,929,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,457,522,740.50 : 377,425,815,978 = 377,425,815,978 : x
  2. Step 2: Convert to fraction form
    172,457,522,740.50/377,425,815,978 = 377,425,815,978/x
  3. Step 3: Cross multiply
    172,457,522,740.50x = 377,425,815,978 × 377,425,815,978
  4. Step 4: Simplify right side
    172,457,522,740.50x = 142,450,246,566,659,122,790,400
  5. Step 5: Solve for x
    x = 142,450,246,566,659,122,790,400/172,457,522,740.50
  6. Step 6: Final answer
    x = 826,001,929,652.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.