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Finding the Third Proportional to 5,297,409 and 11,434,140

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Solution

The third proportional to 5,297,409 and 11,434,140 is: 24,679,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,409 : 11,434,140 = 11,434,140 : x
  2. Step 2: Convert to fraction form
    5,297,409/11,434,140 = 11,434,140/x
  3. Step 3: Cross multiply
    5,297,409x = 11,434,140 × 11,434,140
  4. Step 4: Simplify right side
    5,297,409x = 130,739,557,539,600
  5. Step 5: Solve for x
    x = 130,739,557,539,600/5,297,409
  6. Step 6: Final answer
    x = 24,679,906.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.