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Finding the Third Proportional to 5,253,726 and 11,404,210.50

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Solution

The third proportional to 5,253,726 and 11,404,210.50 is: 24,755,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253,726 : 11,404,210.50 = 11,404,210.50 : x
  2. Step 2: Convert to fraction form
    5,253,726/11,404,210.50 = 11,404,210.50/x
  3. Step 3: Cross multiply
    5,253,726x = 11,404,210.50 × 11,404,210.50
  4. Step 4: Simplify right side
    5,253,726x = 130,056,017,128,310.25
  5. Step 5: Solve for x
    x = 130,056,017,128,310.25/5,253,726
  6. Step 6: Final answer
    x = 24,755,005.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.