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Finding the Third Proportional to 6,430,842.75 and 14,157,072.75

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Solution

The third proportional to 6,430,842.75 and 14,157,072.75 is: 31,165,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,842.75 : 14,157,072.75 = 14,157,072.75 : x
  2. Step 2: Convert to fraction form
    6,430,842.75/14,157,072.75 = 14,157,072.75/x
  3. Step 3: Cross multiply
    6,430,842.75x = 14,157,072.75 × 14,157,072.75
  4. Step 4: Simplify right side
    6,430,842.75x = 200,422,708,848,792.56
  5. Step 5: Solve for x
    x = 200,422,708,848,792.56/6,430,842.75
  6. Step 6: Final answer
    x = 31,165,854.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.