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Finding the Third Proportional to 65,083,019 and 142,669,846

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Solution

The third proportional to 65,083,019 and 142,669,846 is: 312,749,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083,019 : 142,669,846 = 142,669,846 : x
  2. Step 2: Convert to fraction form
    65,083,019/142,669,846 = 142,669,846/x
  3. Step 3: Cross multiply
    65,083,019x = 142,669,846 × 142,669,846
  4. Step 4: Simplify right side
    65,083,019x = 20,354,684,957,663,716
  5. Step 5: Solve for x
    x = 20,354,684,957,663,716/65,083,019
  6. Step 6: Final answer
    x = 312,749,550.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.