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Finding the Third Proportional to 6,998,764.50 and 14,556,368.25

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Solution

The third proportional to 6,998,764.50 and 14,556,368.25 is: 30,275,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,764.50 : 14,556,368.25 = 14,556,368.25 : x
  2. Step 2: Convert to fraction form
    6,998,764.50/14,556,368.25 = 14,556,368.25/x
  3. Step 3: Cross multiply
    6,998,764.50x = 14,556,368.25 × 14,556,368.25
  4. Step 4: Simplify right side
    6,998,764.50x = 211,887,856,629,608.06
  5. Step 5: Solve for x
    x = 211,887,856,629,608.06/6,998,764.50
  6. Step 6: Final answer
    x = 30,275,037.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.