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Finding the Third Proportional to 20,408,192,010 and 31,686,774,800

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Solution

The third proportional to 20,408,192,010 and 31,686,774,800 is: 49,198,463,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408,192,010 : 31,686,774,800 = 31,686,774,800 : x
  2. Step 2: Convert to fraction form
    20,408,192,010/31,686,774,800 = 31,686,774,800/x
  3. Step 3: Cross multiply
    20,408,192,010x = 31,686,774,800 × 31,686,774,800
  4. Step 4: Simplify right side
    20,408,192,010x = 1,004,051,697,225,915,039,744
  5. Step 5: Solve for x
    x = 1,004,051,697,225,915,039,744/20,408,192,010
  6. Step 6: Final answer
    x = 49,198,463,868.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.