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Finding the Third Proportional to 6,430,845 and 14,157,077

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Solution

The third proportional to 6,430,845 and 14,157,077 is: 31,165,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,845 : 14,157,077 = 14,157,077 : x
  2. Step 2: Convert to fraction form
    6,430,845/14,157,077 = 14,157,077/x
  3. Step 3: Cross multiply
    6,430,845x = 14,157,077 × 14,157,077
  4. Step 4: Simplify right side
    6,430,845x = 200,422,829,183,929
  5. Step 5: Solve for x
    x = 200,422,829,183,929/6,430,845
  6. Step 6: Final answer
    x = 31,165,862.21

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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.