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Finding the Third Proportional to 4,224,084.19 and 9,084,995.44

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Solution

The third proportional to 4,224,084.19 and 9,084,995.44 is: 19,539,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224,084.19 : 9,084,995.44 = 9,084,995.44 : x
  2. Step 2: Convert to fraction form
    4,224,084.19/9,084,995.44 = 9,084,995.44/x
  3. Step 3: Cross multiply
    4,224,084.19x = 9,084,995.44 × 9,084,995.44
  4. Step 4: Simplify right side
    4,224,084.19x = 82,537,142,099,395.81
  5. Step 5: Solve for x
    x = 82,537,142,099,395.81/4,224,084.19
  6. Step 6: Final answer
    x = 19,539,653.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.