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Finding the Third Proportional to 33,339,776,967,512 and 72,218,308,564,528

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Solution

The third proportional to 33,339,776,967,512 and 72,218,308,564,528 is: 156,434,282,598,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339,776,967,512 : 72,218,308,564,528 = 72,218,308,564,528 : x
  2. Step 2: Convert to fraction form
    33,339,776,967,512/72,218,308,564,528 = 72,218,308,564,528/x
  3. Step 3: Cross multiply
    33,339,776,967,512x = 72,218,308,564,528 × 72,218,308,564,528
  4. Step 4: Simplify right side
    33,339,776,967,512x = 5,215,484,091,921,377,858,536,079,360
  5. Step 5: Solve for x
    x = 5,215,484,091,921,377,858,536,079,360/33,339,776,967,512
  6. Step 6: Final answer
    x = 156,434,282,598,939.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.