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Finding the Third Proportional to 6,143,084 and 13,330,395

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Solution

The third proportional to 6,143,084 and 13,330,395 is: 28,926,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,084 : 13,330,395 = 13,330,395 : x
  2. Step 2: Convert to fraction form
    6,143,084/13,330,395 = 13,330,395/x
  3. Step 3: Cross multiply
    6,143,084x = 13,330,395 × 13,330,395
  4. Step 4: Simplify right side
    6,143,084x = 177,699,430,856,025
  5. Step 5: Solve for x
    x = 177,699,430,856,025/6,143,084
  6. Step 6: Final answer
    x = 28,926,746.05

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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.