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Finding the Third Proportional to 39,381,959,572.50 and 84,736,920,514.50

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Solution

The third proportional to 39,381,959,572.50 and 84,736,920,514.50 is: 182,325,759,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381,959,572.50 : 84,736,920,514.50 = 84,736,920,514.50 : x
  2. Step 2: Convert to fraction form
    39,381,959,572.50/84,736,920,514.50 = 84,736,920,514.50/x
  3. Step 3: Cross multiply
    39,381,959,572.50x = 84,736,920,514.50 × 84,736,920,514.50
  4. Step 4: Simplify right side
    39,381,959,572.50x = 7,180,345,698,280,691,204,096
  5. Step 5: Solve for x
    x = 7,180,345,698,280,691,204,096/39,381,959,572.50
  6. Step 6: Final answer
    x = 182,325,759,719.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.