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Finding the Third Proportional to 36,793,624 and 77,400,944

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Solution

The third proportional to 36,793,624 and 77,400,944 is: 162,824,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,793,624 : 77,400,944 = 77,400,944 : x
  2. Step 2: Convert to fraction form
    36,793,624/77,400,944 = 77,400,944/x
  3. Step 3: Cross multiply
    36,793,624x = 77,400,944 × 77,400,944
  4. Step 4: Simplify right side
    36,793,624x = 5,990,906,132,091,136
  5. Step 5: Solve for x
    x = 5,990,906,132,091,136/36,793,624
  6. Step 6: Final answer
    x = 162,824,573.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.