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Finding the Third Proportional to 29,435,481,131,328 and 64,410,558,696,480

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Solution

The third proportional to 29,435,481,131,328 and 64,410,558,696,480 is: 140,942,831,988,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435,481,131,328 : 64,410,558,696,480 = 64,410,558,696,480 : x
  2. Step 2: Convert to fraction form
    29,435,481,131,328/64,410,558,696,480 = 64,410,558,696,480/x
  3. Step 3: Cross multiply
    29,435,481,131,328x = 64,410,558,696,480 × 64,410,558,696,480
  4. Step 4: Simplify right side
    29,435,481,131,328x = 4,148,720,071,592,695,409,735,106,560
  5. Step 5: Solve for x
    x = 4,148,720,071,592,695,409,735,106,560/29,435,481,131,328
  6. Step 6: Final answer
    x = 140,942,831,988,475.25

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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.