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Finding the Third Proportional to 30,335,357.50 and 42,923,611.50

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Solution

The third proportional to 30,335,357.50 and 42,923,611.50 is: 60,735,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,357.50 : 42,923,611.50 = 42,923,611.50 : x
  2. Step 2: Convert to fraction form
    30,335,357.50/42,923,611.50 = 42,923,611.50/x
  3. Step 3: Cross multiply
    30,335,357.50x = 42,923,611.50 × 42,923,611.50
  4. Step 4: Simplify right side
    30,335,357.50x = 1,842,436,424,202,932.25
  5. Step 5: Solve for x
    x = 1,842,436,424,202,932.25/30,335,357.50
  6. Step 6: Final answer
    x = 60,735,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.