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Finding the Third Proportional to 9,569,816,161,502 and 20,591,071,656,362

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Solution

The third proportional to 9,569,816,161,502 and 20,591,071,656,362 is: 44,305,159,556,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569,816,161,502 : 20,591,071,656,362 = 20,591,071,656,362 : x
  2. Step 2: Convert to fraction form
    9,569,816,161,502/20,591,071,656,362 = 20,591,071,656,362/x
  3. Step 3: Cross multiply
    9,569,816,161,502x = 20,591,071,656,362 × 20,591,071,656,362
  4. Step 4: Simplify right side
    9,569,816,161,502x = 423,992,231,957,434,523,044,544,512
  5. Step 5: Solve for x
    x = 423,992,231,957,434,523,044,544,512/9,569,816,161,502
  6. Step 6: Final answer
    x = 44,305,159,556,052.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.