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Finding the Third Proportional to 2,954,811 and 6,470,126.25

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Solution

The third proportional to 2,954,811 and 6,470,126.25 is: 14,167,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,811 : 6,470,126.25 = 6,470,126.25 : x
  2. Step 2: Convert to fraction form
    2,954,811/6,470,126.25 = 6,470,126.25/x
  3. Step 3: Cross multiply
    2,954,811x = 6,470,126.25 × 6,470,126.25
  4. Step 4: Simplify right side
    2,954,811x = 41,862,533,690,939.06
  5. Step 5: Solve for x
    x = 41,862,533,690,939.06/2,954,811
  6. Step 6: Final answer
    x = 14,167,584.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.