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Finding the Third Proportional to 39,967,749 and 83,077,164

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Solution

The third proportional to 39,967,749 and 83,077,164 is: 172,684,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967,749 : 83,077,164 = 83,077,164 : x
  2. Step 2: Convert to fraction form
    39,967,749/83,077,164 = 83,077,164/x
  3. Step 3: Cross multiply
    39,967,749x = 83,077,164 × 83,077,164
  4. Step 4: Simplify right side
    39,967,749x = 6,901,815,178,282,896
  5. Step 5: Solve for x
    x = 6,901,815,178,282,896/39,967,749
  6. Step 6: Final answer
    x = 172,684,610.74

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.