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Finding the Third Proportional to 6,430,832 and 14,157,051

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Solution

The third proportional to 6,430,832 and 14,157,051 is: 31,165,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,832 : 14,157,051 = 14,157,051 : x
  2. Step 2: Convert to fraction form
    6,430,832/14,157,051 = 14,157,051/x
  3. Step 3: Cross multiply
    6,430,832x = 14,157,051 × 14,157,051
  4. Step 4: Simplify right side
    6,430,832x = 200,422,093,016,601
  5. Step 5: Solve for x
    x = 200,422,093,016,601/6,430,832
  6. Step 6: Final answer
    x = 31,165,810.74

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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.