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Finding the Third Proportional to 6,430,837 and 14,157,063

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Solution

The third proportional to 6,430,837 and 14,157,063 is: 31,165,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,837 : 14,157,063 = 14,157,063 : x
  2. Step 2: Convert to fraction form
    6,430,837/14,157,063 = 14,157,063/x
  3. Step 3: Cross multiply
    6,430,837x = 14,157,063 × 14,157,063
  4. Step 4: Simplify right side
    6,430,837x = 200,422,432,785,969
  5. Step 5: Solve for x
    x = 200,422,432,785,969/6,430,837
  6. Step 6: Final answer
    x = 31,165,839.34

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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.