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Finding the Third Proportional to 9,367,947 and 21,685,448.25

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Solution

The third proportional to 9,367,947 and 21,685,448.25 is: 50,198,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367,947 : 21,685,448.25 = 21,685,448.25 : x
  2. Step 2: Convert to fraction form
    9,367,947/21,685,448.25 = 21,685,448.25/x
  3. Step 3: Cross multiply
    9,367,947x = 21,685,448.25 × 21,685,448.25
  4. Step 4: Simplify right side
    9,367,947x = 470,258,665,803,428.06
  5. Step 5: Solve for x
    x = 470,258,665,803,428.06/9,367,947
  6. Step 6: Final answer
    x = 50,198,689.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.