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Finding the Third Proportional to 3,201,770,920.50 and 4,783,823,415

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Solution

The third proportional to 3,201,770,920.50 and 4,783,823,415 is: 7,147,596,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,770,920.50 : 4,783,823,415 = 4,783,823,415 : x
  2. Step 2: Convert to fraction form
    3,201,770,920.50/4,783,823,415 = 4,783,823,415/x
  3. Step 3: Cross multiply
    3,201,770,920.50x = 4,783,823,415 × 4,783,823,415
  4. Step 4: Simplify right side
    3,201,770,920.50x = 22,884,966,465,902,260,224
  5. Step 5: Solve for x
    x = 22,884,966,465,902,260,224/3,201,770,920.50
  6. Step 6: Final answer
    x = 7,147,596,450.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.