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Finding the Third Proportional to 2,954,128.13 and 6,412,430.44

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Solution

The third proportional to 2,954,128.13 and 6,412,430.44 is: 13,919,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,128.13 : 6,412,430.44 = 6,412,430.44 : x
  2. Step 2: Convert to fraction form
    2,954,128.13/6,412,430.44 = 6,412,430.44/x
  3. Step 3: Cross multiply
    2,954,128.13x = 6,412,430.44 × 6,412,430.44
  4. Step 4: Simplify right side
    2,954,128.13x = 41,119,264,115,776.44
  5. Step 5: Solve for x
    x = 41,119,264,115,776.44/2,954,128.13
  6. Step 6: Final answer
    x = 13,919,255.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.