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Finding the Third Proportional to 39,590,984 and 82,801,909

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Solution

The third proportional to 39,590,984 and 82,801,909 is: 173,174,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,590,984 : 82,801,909 = 82,801,909 : x
  2. Step 2: Convert to fraction form
    39,590,984/82,801,909 = 82,801,909/x
  3. Step 3: Cross multiply
    39,590,984x = 82,801,909 × 82,801,909
  4. Step 4: Simplify right side
    39,590,984x = 6,856,156,134,044,281
  5. Step 5: Solve for x
    x = 6,856,156,134,044,281/39,590,984
  6. Step 6: Final answer
    x = 173,174,683.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.