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Finding the Third Proportional to 45,679,222,641 and 69,831,758,949

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Solution

The third proportional to 45,679,222,641 and 69,831,758,949 is: 106,754,762,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,679,222,641 : 69,831,758,949 = 69,831,758,949 : x
  2. Step 2: Convert to fraction form
    45,679,222,641/69,831,758,949 = 69,831,758,949/x
  3. Step 3: Cross multiply
    45,679,222,641x = 69,831,758,949 × 69,831,758,949
  4. Step 4: Simplify right side
    45,679,222,641x = 4,876,474,557,911,241,064,448
  5. Step 5: Solve for x
    x = 4,876,474,557,911,241,064,448/45,679,222,641
  6. Step 6: Final answer
    x = 106,754,762,361.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.