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Finding the Third Proportional to 6,270,964 and 9,164,474

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Solution

The third proportional to 6,270,964 and 9,164,474 is: 13,393,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,964 : 9,164,474 = 9,164,474 : x
  2. Step 2: Convert to fraction form
    6,270,964/9,164,474 = 9,164,474/x
  3. Step 3: Cross multiply
    6,270,964x = 9,164,474 × 9,164,474
  4. Step 4: Simplify right side
    6,270,964x = 83,987,583,696,676
  5. Step 5: Solve for x
    x = 83,987,583,696,676/6,270,964
  6. Step 6: Final answer
    x = 13,393,089.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.