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Finding the Third Proportional to 13,909,584 and 30,134,400

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Solution

The third proportional to 13,909,584 and 30,134,400 is: 65,284,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,584 : 30,134,400 = 30,134,400 : x
  2. Step 2: Convert to fraction form
    13,909,584/30,134,400 = 30,134,400/x
  3. Step 3: Cross multiply
    13,909,584x = 30,134,400 × 30,134,400
  4. Step 4: Simplify right side
    13,909,584x = 908,082,063,360,000
  5. Step 5: Solve for x
    x = 908,082,063,360,000/13,909,584
  6. Step 6: Final answer
    x = 65,284,631.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.