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Finding the Third Proportional to 10,473,982.50 and 16,255,628.25

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Solution

The third proportional to 10,473,982.50 and 16,255,628.25 is: 25,228,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473,982.50 : 16,255,628.25 = 16,255,628.25 : x
  2. Step 2: Convert to fraction form
    10,473,982.50/16,255,628.25 = 16,255,628.25/x
  3. Step 3: Cross multiply
    10,473,982.50x = 16,255,628.25 × 16,255,628.25
  4. Step 4: Simplify right side
    10,473,982.50x = 264,245,449,802,198.06
  5. Step 5: Solve for x
    x = 264,245,449,802,198.06/10,473,982.50
  6. Step 6: Final answer
    x = 25,228,746.54

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1.5x scale

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.