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Finding the Third Proportional to 2,535,620 and 5,638,168

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Solution

The third proportional to 2,535,620 and 5,638,168 is: 12,536,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,620 : 5,638,168 = 5,638,168 : x
  2. Step 2: Convert to fraction form
    2,535,620/5,638,168 = 5,638,168/x
  3. Step 3: Cross multiply
    2,535,620x = 5,638,168 × 5,638,168
  4. Step 4: Simplify right side
    2,535,620x = 31,788,938,396,224
  5. Step 5: Solve for x
    x = 31,788,938,396,224/2,535,620
  6. Step 6: Final answer
    x = 12,536,948.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.