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Finding the Third Proportional to 3,364,824,120 and 7,362,889,728

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Solution

The third proportional to 3,364,824,120 and 7,362,889,728 is: 16,111,435,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,824,120 : 7,362,889,728 = 7,362,889,728 : x
  2. Step 2: Convert to fraction form
    3,364,824,120/7,362,889,728 = 7,362,889,728/x
  3. Step 3: Cross multiply
    3,364,824,120x = 7,362,889,728 × 7,362,889,728
  4. Step 4: Simplify right side
    3,364,824,120x = 54,212,145,146,687,913,984
  5. Step 5: Solve for x
    x = 54,212,145,146,687,913,984/3,364,824,120
  6. Step 6: Final answer
    x = 16,111,435,015.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.