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Finding the Third Proportional to 3,364,824,116 and 7,362,889,720

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Solution

The third proportional to 3,364,824,116 and 7,362,889,720 is: 16,111,434,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,824,116 : 7,362,889,720 = 7,362,889,720 : x
  2. Step 2: Convert to fraction form
    3,364,824,116/7,362,889,720 = 7,362,889,720/x
  3. Step 3: Cross multiply
    3,364,824,116x = 7,362,889,720 × 7,362,889,720
  4. Step 4: Simplify right side
    3,364,824,116x = 54,212,145,028,881,678,336
  5. Step 5: Solve for x
    x = 54,212,145,028,881,678,336/3,364,824,116
  6. Step 6: Final answer
    x = 16,111,434,999.26

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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.