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Finding the Third Proportional to 39,481,774 and 85,206,159

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Solution

The third proportional to 39,481,774 and 85,206,159 is: 183,884,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481,774 : 85,206,159 = 85,206,159 : x
  2. Step 2: Convert to fraction form
    39,481,774/85,206,159 = 85,206,159/x
  3. Step 3: Cross multiply
    39,481,774x = 85,206,159 × 85,206,159
  4. Step 4: Simplify right side
    39,481,774x = 7,260,089,531,533,281
  5. Step 5: Solve for x
    x = 7,260,089,531,533,281/39,481,774
  6. Step 6: Final answer
    x = 183,884,582.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.