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Finding the Third Proportional to 2,954,123.16 and 6,412,420.69

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Solution

The third proportional to 2,954,123.16 and 6,412,420.69 is: 13,919,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,123.16 : 6,412,420.69 = 6,412,420.69 : x
  2. Step 2: Convert to fraction form
    2,954,123.16/6,412,420.69 = 6,412,420.69/x
  3. Step 3: Cross multiply
    2,954,123.16x = 6,412,420.69 × 6,412,420.69
  4. Step 4: Simplify right side
    2,954,123.16x = 41,119,139,073,477.97
  5. Step 5: Solve for x
    x = 41,119,139,073,477.97/2,954,123.16
  6. Step 6: Final answer
    x = 13,919,236.57

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Why These Related Problems?

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