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Finding the Third Proportional to 9,212,507,622 and 19,892,988,144

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Solution

The third proportional to 9,212,507,622 and 19,892,988,144 is: 42,955,837,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,507,622 : 19,892,988,144 = 19,892,988,144 : x
  2. Step 2: Convert to fraction form
    9,212,507,622/19,892,988,144 = 19,892,988,144/x
  3. Step 3: Cross multiply
    9,212,507,622x = 19,892,988,144 × 19,892,988,144
  4. Step 4: Simplify right side
    9,212,507,622x = 395,730,977,297,324,572,672
  5. Step 5: Solve for x
    x = 395,730,977,297,324,572,672/9,212,507,622
  6. Step 6: Final answer
    x = 42,955,837,165.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.