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Finding the Third Proportional to 5,938,223 and 13,011,378

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Solution

The third proportional to 5,938,223 and 13,011,378 is: 28,509,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938,223 : 13,011,378 = 13,011,378 : x
  2. Step 2: Convert to fraction form
    5,938,223/13,011,378 = 13,011,378/x
  3. Step 3: Cross multiply
    5,938,223x = 13,011,378 × 13,011,378
  4. Step 4: Simplify right side
    5,938,223x = 169,295,957,458,884
  5. Step 5: Solve for x
    x = 169,295,957,458,884/5,938,223
  6. Step 6: Final answer
    x = 28,509,531.80

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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.