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Finding the Third Proportional to 2,969,110.50 and 6,505,687

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Solution

The third proportional to 2,969,110.50 and 6,505,687 is: 14,254,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,110.50 : 6,505,687 = 6,505,687 : x
  2. Step 2: Convert to fraction form
    2,969,110.50/6,505,687 = 6,505,687/x
  3. Step 3: Cross multiply
    2,969,110.50x = 6,505,687 × 6,505,687
  4. Step 4: Simplify right side
    2,969,110.50x = 42,323,963,341,969
  5. Step 5: Solve for x
    x = 42,323,963,341,969/2,969,110.50
  6. Step 6: Final answer
    x = 14,254,761.94

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Why These Related Problems?

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