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Finding the Third Proportional to 9,447,374.25 and 14,168,601

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Solution

The third proportional to 9,447,374.25 and 14,168,601 is: 21,249,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,374.25 : 14,168,601 = 14,168,601 : x
  2. Step 2: Convert to fraction form
    9,447,374.25/14,168,601 = 14,168,601/x
  3. Step 3: Cross multiply
    9,447,374.25x = 14,168,601 × 14,168,601
  4. Step 4: Simplify right side
    9,447,374.25x = 200,749,254,297,201
  5. Step 5: Solve for x
    x = 200,749,254,297,201/9,447,374.25
  6. Step 6: Final answer
    x = 21,249,211.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.