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Finding the Third Proportional to 32,078,223 and 65,857,007.25

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Solution

The third proportional to 32,078,223 and 65,857,007.25 is: 135,205,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,223 : 65,857,007.25 = 65,857,007.25 : x
  2. Step 2: Convert to fraction form
    32,078,223/65,857,007.25 = 65,857,007.25/x
  3. Step 3: Cross multiply
    32,078,223x = 65,857,007.25 × 65,857,007.25
  4. Step 4: Simplify right side
    32,078,223x = 4,337,145,403,926,552.50
  5. Step 5: Solve for x
    x = 4,337,145,403,926,552.50/32,078,223
  6. Step 6: Final answer
    x = 135,205,288.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.