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Finding the Third Proportional to 6,270,958 and 9,164,471

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Solution

The third proportional to 6,270,958 and 9,164,471 is: 13,393,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,958 : 9,164,471 = 9,164,471 : x
  2. Step 2: Convert to fraction form
    6,270,958/9,164,471 = 9,164,471/x
  3. Step 3: Cross multiply
    6,270,958x = 9,164,471 × 9,164,471
  4. Step 4: Simplify right side
    6,270,958x = 83,987,528,709,841
  5. Step 5: Solve for x
    x = 83,987,528,709,841/6,270,958
  6. Step 6: Final answer
    x = 13,393,093.80

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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.