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Finding the Third Proportional to 275,510,592,168 and 427,771,459,845

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Solution

The third proportional to 275,510,592,168 and 427,771,459,845 is: 664,179,262,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,510,592,168 : 427,771,459,845 = 427,771,459,845 : x
  2. Step 2: Convert to fraction form
    275,510,592,168/427,771,459,845 = 427,771,459,845/x
  3. Step 3: Cross multiply
    275,510,592,168x = 427,771,459,845 × 427,771,459,845
  4. Step 4: Simplify right side
    275,510,592,168x = 182,988,421,857,922,433,155,072
  5. Step 5: Solve for x
    x = 182,988,421,857,922,433,155,072/275,510,592,168
  6. Step 6: Final answer
    x = 664,179,262,285.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.