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Finding the Third Proportional to 33,012,223,128 and 72,509,786,424

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Solution

The third proportional to 33,012,223,128 and 72,509,786,424 is: 159,264,315,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,223,128 : 72,509,786,424 = 72,509,786,424 : x
  2. Step 2: Convert to fraction form
    33,012,223,128/72,509,786,424 = 72,509,786,424/x
  3. Step 3: Cross multiply
    33,012,223,128x = 72,509,786,424 × 72,509,786,424
  4. Step 4: Simplify right side
    33,012,223,128x = 5,257,669,127,254,094,905,344
  5. Step 5: Solve for x
    x = 5,257,669,127,254,094,905,344/33,012,223,128
  6. Step 6: Final answer
    x = 159,264,315,731.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.