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Finding the Third Proportional to 9,664,360 and 13,546,288

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Solution

The third proportional to 9,664,360 and 13,546,288 is: 18,987,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664,360 : 13,546,288 = 13,546,288 : x
  2. Step 2: Convert to fraction form
    9,664,360/13,546,288 = 13,546,288/x
  3. Step 3: Cross multiply
    9,664,360x = 13,546,288 × 13,546,288
  4. Step 4: Simplify right side
    9,664,360x = 183,501,918,578,944
  5. Step 5: Solve for x
    x = 183,501,918,578,944/9,664,360
  6. Step 6: Final answer
    x = 18,987,487.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.