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Finding the Third Proportional to 15,732,532.50 and 34,587,144

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Solution

The third proportional to 15,732,532.50 and 34,587,144 is: 76,038,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732,532.50 : 34,587,144 = 34,587,144 : x
  2. Step 2: Convert to fraction form
    15,732,532.50/34,587,144 = 34,587,144/x
  3. Step 3: Cross multiply
    15,732,532.50x = 34,587,144 × 34,587,144
  4. Step 4: Simplify right side
    15,732,532.50x = 1,196,270,530,076,736
  5. Step 5: Solve for x
    x = 1,196,270,530,076,736/15,732,532.50
  6. Step 6: Final answer
    x = 76,038,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.