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Finding the Third Proportional to 39,081,986 and 83,531,143

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Solution

The third proportional to 39,081,986 and 83,531,143 is: 178,533,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,081,986 : 83,531,143 = 83,531,143 : x
  2. Step 2: Convert to fraction form
    39,081,986/83,531,143 = 83,531,143/x
  3. Step 3: Cross multiply
    39,081,986x = 83,531,143 × 83,531,143
  4. Step 4: Simplify right side
    39,081,986x = 6,977,451,850,886,449
  5. Step 5: Solve for x
    x = 6,977,451,850,886,449/39,081,986
  6. Step 6: Final answer
    x = 178,533,707.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.