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Finding the Third Proportional to 35,262,658.50 and 54,489,769.50

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Solution

The third proportional to 35,262,658.50 and 54,489,769.50 is: 84,200,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262,658.50 : 54,489,769.50 = 54,489,769.50 : x
  2. Step 2: Convert to fraction form
    35,262,658.50/54,489,769.50 = 54,489,769.50/x
  3. Step 3: Cross multiply
    35,262,658.50x = 54,489,769.50 × 54,489,769.50
  4. Step 4: Simplify right side
    35,262,658.50x = 2,969,134,980,163,130
  5. Step 5: Solve for x
    x = 2,969,134,980,163,130/35,262,658.50
  6. Step 6: Final answer
    x = 84,200,542.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.