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Finding the Third Proportional to 3,785,089.50 and 8,302,986

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Solution

The third proportional to 3,785,089.50 and 8,302,986 is: 18,213,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,089.50 : 8,302,986 = 8,302,986 : x
  2. Step 2: Convert to fraction form
    3,785,089.50/8,302,986 = 8,302,986/x
  3. Step 3: Cross multiply
    3,785,089.50x = 8,302,986 × 8,302,986
  4. Step 4: Simplify right side
    3,785,089.50x = 68,939,576,516,196
  5. Step 5: Solve for x
    x = 68,939,576,516,196/3,785,089.50
  6. Step 6: Final answer
    x = 18,213,460.08

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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.