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Finding the Third Proportional to 1,642,855,012 and 3,874,273,968

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Solution

The third proportional to 1,642,855,012 and 3,874,273,968 is: 9,136,532,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,855,012 : 3,874,273,968 = 3,874,273,968 : x
  2. Step 2: Convert to fraction form
    1,642,855,012/3,874,273,968 = 3,874,273,968/x
  3. Step 3: Cross multiply
    1,642,855,012x = 3,874,273,968 × 3,874,273,968
  4. Step 4: Simplify right side
    1,642,855,012x = 15,009,998,779,122,464,768
  5. Step 5: Solve for x
    x = 15,009,998,779,122,464,768/1,642,855,012
  6. Step 6: Final answer
    x = 9,136,532,846.47

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.