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Finding the Third Proportional to 39,287,520 and 85,711,456

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Solution

The third proportional to 39,287,520 and 85,711,456 is: 186,992,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,287,520 : 85,711,456 = 85,711,456 : x
  2. Step 2: Convert to fraction form
    39,287,520/85,711,456 = 85,711,456/x
  3. Step 3: Cross multiply
    39,287,520x = 85,711,456 × 85,711,456
  4. Step 4: Simplify right side
    39,287,520x = 7,346,453,689,639,936
  5. Step 5: Solve for x
    x = 7,346,453,689,639,936/39,287,520
  6. Step 6: Final answer
    x = 186,992,044.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.