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Finding the Third Proportional to 6,458,400 and 13,585,968

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Solution

The third proportional to 6,458,400 and 13,585,968 is: 28,579,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,400 : 13,585,968 = 13,585,968 : x
  2. Step 2: Convert to fraction form
    6,458,400/13,585,968 = 13,585,968/x
  3. Step 3: Cross multiply
    6,458,400x = 13,585,968 × 13,585,968
  4. Step 4: Simplify right side
    6,458,400x = 184,578,526,497,024
  5. Step 5: Solve for x
    x = 184,578,526,497,024/6,458,400
  6. Step 6: Final answer
    x = 28,579,605.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.