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Finding the Third Proportional to 5,870,984.25 and 11,907,047.25

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Solution

The third proportional to 5,870,984.25 and 11,907,047.25 is: 24,148,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,984.25 : 11,907,047.25 = 11,907,047.25 : x
  2. Step 2: Convert to fraction form
    5,870,984.25/11,907,047.25 = 11,907,047.25/x
  3. Step 3: Cross multiply
    5,870,984.25x = 11,907,047.25 × 11,907,047.25
  4. Step 4: Simplify right side
    5,870,984.25x = 141,777,774,213,732.56
  5. Step 5: Solve for x
    x = 141,777,774,213,732.56/5,870,984.25
  6. Step 6: Final answer
    x = 24,148,893.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.