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Finding the Third Proportional to 6,934,958 and 9,201,947

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Solution

The third proportional to 6,934,958 and 9,201,947 is: 12,209,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,958 : 9,201,947 = 9,201,947 : x
  2. Step 2: Convert to fraction form
    6,934,958/9,201,947 = 9,201,947/x
  3. Step 3: Cross multiply
    6,934,958x = 9,201,947 × 9,201,947
  4. Step 4: Simplify right side
    6,934,958x = 84,675,828,590,809
  5. Step 5: Solve for x
    x = 84,675,828,590,809/6,934,958
  6. Step 6: Final answer
    x = 12,209,998.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.