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Finding the Third Proportional to 5,201,158.50 and 6,901,382.25

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Solution

The third proportional to 5,201,158.50 and 6,901,382.25 is: 9,157,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,158.50 : 6,901,382.25 = 6,901,382.25 : x
  2. Step 2: Convert to fraction form
    5,201,158.50/6,901,382.25 = 6,901,382.25/x
  3. Step 3: Cross multiply
    5,201,158.50x = 6,901,382.25 × 6,901,382.25
  4. Step 4: Simplify right side
    5,201,158.50x = 47,629,076,960,615.06
  5. Step 5: Solve for x
    x = 47,629,076,960,615.06/5,201,158.50
  6. Step 6: Final answer
    x = 9,157,397.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.