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Finding the Third Proportional to 6,270,780 and 9,691,464

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Solution

The third proportional to 6,270,780 and 9,691,464 is: 14,978,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,780 : 9,691,464 = 9,691,464 : x
  2. Step 2: Convert to fraction form
    6,270,780/9,691,464 = 9,691,464/x
  3. Step 3: Cross multiply
    6,270,780x = 9,691,464 × 9,691,464
  4. Step 4: Simplify right side
    6,270,780x = 93,924,474,463,296
  5. Step 5: Solve for x
    x = 93,924,474,463,296/6,270,780
  6. Step 6: Final answer
    x = 14,978,116.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.