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Finding the Third Proportional to 4,051,554.19 and 6,180,203.81

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Solution

The third proportional to 4,051,554.19 and 6,180,203.81 is: 9,427,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,554.19 : 6,180,203.81 = 6,180,203.81 : x
  2. Step 2: Convert to fraction form
    4,051,554.19/6,180,203.81 = 6,180,203.81/x
  3. Step 3: Cross multiply
    4,051,554.19x = 6,180,203.81 × 6,180,203.81
  4. Step 4: Simplify right side
    4,051,554.19x = 38,194,919,164,039.53
  5. Step 5: Solve for x
    x = 38,194,919,164,039.53/4,051,554.19
  6. Step 6: Final answer
    x = 9,427,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.