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Finding the Third Proportional to 4,208,123.06 and 9,065,406.19

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Solution

The third proportional to 4,208,123.06 and 9,065,406.19 is: 19,529,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208,123.06 : 9,065,406.19 = 9,065,406.19 : x
  2. Step 2: Convert to fraction form
    4,208,123.06/9,065,406.19 = 9,065,406.19/x
  3. Step 3: Cross multiply
    4,208,123.06x = 9,065,406.19 × 9,065,406.19
  4. Step 4: Simplify right side
    4,208,123.06x = 82,181,589,344,363.28
  5. Step 5: Solve for x
    x = 82,181,589,344,363.28/4,208,123.06
  6. Step 6: Final answer
    x = 19,529,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.