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Finding the Third Proportional to 6,207,538 and 13,363,780

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Solution

The third proportional to 6,207,538 and 13,363,780 is: 28,769,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207,538 : 13,363,780 = 13,363,780 : x
  2. Step 2: Convert to fraction form
    6,207,538/13,363,780 = 13,363,780/x
  3. Step 3: Cross multiply
    6,207,538x = 13,363,780 × 13,363,780
  4. Step 4: Simplify right side
    6,207,538x = 178,590,615,888,400
  5. Step 5: Solve for x
    x = 178,590,615,888,400/6,207,538
  6. Step 6: Final answer
    x = 28,769,959.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.