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Finding the Third Proportional to 737,389,441.69 and 1,579,957,341.19

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Solution

The third proportional to 737,389,441.69 and 1,579,957,341.19 is: 3,385,273,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,389,441.69 : 1,579,957,341.19 = 1,579,957,341.19 : x
  2. Step 2: Convert to fraction form
    737,389,441.69/1,579,957,341.19 = 1,579,957,341.19/x
  3. Step 3: Cross multiply
    737,389,441.69x = 1,579,957,341.19 × 1,579,957,341.19
  4. Step 4: Simplify right side
    737,389,441.69x = 2,496,265,199,972,274,176
  5. Step 5: Solve for x
    x = 2,496,265,199,972,274,176/737,389,441.69
  6. Step 6: Final answer
    x = 3,385,273,857.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.