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Finding the Third Proportional to 7,885,947 and 17,033,034

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Solution

The third proportional to 7,885,947 and 17,033,034 is: 36,790,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885,947 : 17,033,034 = 17,033,034 : x
  2. Step 2: Convert to fraction form
    7,885,947/17,033,034 = 17,033,034/x
  3. Step 3: Cross multiply
    7,885,947x = 17,033,034 × 17,033,034
  4. Step 4: Simplify right side
    7,885,947x = 290,124,247,245,156
  5. Step 5: Solve for x
    x = 290,124,247,245,156/7,885,947
  6. Step 6: Final answer
    x = 36,790,032.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.