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Finding the Third Proportional to 1,634,563,836 and 2,537,972,728

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Solution

The third proportional to 1,634,563,836 and 2,537,972,728 is: 3,940,687,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,563,836 : 2,537,972,728 = 2,537,972,728 : x
  2. Step 2: Convert to fraction form
    1,634,563,836/2,537,972,728 = 2,537,972,728/x
  3. Step 3: Cross multiply
    1,634,563,836x = 2,537,972,728 × 2,537,972,728
  4. Step 4: Simplify right side
    1,634,563,836x = 6,441,305,568,071,761,920
  5. Step 5: Solve for x
    x = 6,441,305,568,071,761,920/1,634,563,836
  6. Step 6: Final answer
    x = 3,940,687,678.39

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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.