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Finding the Third Proportional to 35,493,337.50 and 57,143,342.25

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Solution

The third proportional to 35,493,337.50 and 57,143,342.25 is: 91,999,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493,337.50 : 57,143,342.25 = 57,143,342.25 : x
  2. Step 2: Convert to fraction form
    35,493,337.50/57,143,342.25 = 57,143,342.25/x
  3. Step 3: Cross multiply
    35,493,337.50x = 57,143,342.25 × 57,143,342.25
  4. Step 4: Simplify right side
    35,493,337.50x = 3,265,361,563,500,635
  5. Step 5: Solve for x
    x = 3,265,361,563,500,635/35,493,337.50
  6. Step 6: Final answer
    x = 91,999,281.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.