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Finding the Third Proportional to 35,207,308.50 and 53,856,542.50

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Solution

The third proportional to 35,207,308.50 and 53,856,542.50 is: 82,384,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207,308.50 : 53,856,542.50 = 53,856,542.50 : x
  2. Step 2: Convert to fraction form
    35,207,308.50/53,856,542.50 = 53,856,542.50/x
  3. Step 3: Cross multiply
    35,207,308.50x = 53,856,542.50 × 53,856,542.50
  4. Step 4: Simplify right side
    35,207,308.50x = 2,900,527,170,054,306
  5. Step 5: Solve for x
    x = 2,900,527,170,054,306/35,207,308.50
  6. Step 6: Final answer
    x = 82,384,234.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.