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Finding the Third Proportional to 275,510,592,162 and 427,771,459,836

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Solution

The third proportional to 275,510,592,162 and 427,771,459,836 is: 664,179,262,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,510,592,162 : 427,771,459,836 = 427,771,459,836 : x
  2. Step 2: Convert to fraction form
    275,510,592,162/427,771,459,836 = 427,771,459,836/x
  3. Step 3: Cross multiply
    275,510,592,162x = 427,771,459,836 × 427,771,459,836
  4. Step 4: Simplify right side
    275,510,592,162x = 182,988,421,850,222,563,426,304
  5. Step 5: Solve for x
    x = 182,988,421,850,222,563,426,304/275,510,592,162
  6. Step 6: Final answer
    x = 664,179,262,271.80

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Why These Related Problems?

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