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Finding the Third Proportional to 31,946,452.50 and 69,971,329.50

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Solution

The third proportional to 31,946,452.50 and 69,971,329.50 is: 153,256,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946,452.50 : 69,971,329.50 = 69,971,329.50 : x
  2. Step 2: Convert to fraction form
    31,946,452.50/69,971,329.50 = 69,971,329.50/x
  3. Step 3: Cross multiply
    31,946,452.50x = 69,971,329.50 × 69,971,329.50
  4. Step 4: Simplify right side
    31,946,452.50x = 4,895,986,951,997,570
  5. Step 5: Solve for x
    x = 4,895,986,951,997,570/31,946,452.50
  6. Step 6: Final answer
    x = 153,256,044.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.