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Finding the Third Proportional to 4,921,867 and 7,703,378

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Solution

The third proportional to 4,921,867 and 7,703,378 is: 12,056,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,867 : 7,703,378 = 7,703,378 : x
  2. Step 2: Convert to fraction form
    4,921,867/7,703,378 = 7,703,378/x
  3. Step 3: Cross multiply
    4,921,867x = 7,703,378 × 7,703,378
  4. Step 4: Simplify right side
    4,921,867x = 59,342,032,610,884
  5. Step 5: Solve for x
    x = 59,342,032,610,884/4,921,867
  6. Step 6: Final answer
    x = 12,056,813.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.