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Finding the Third Proportional to 6,213,798 and 8,395,244.25

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Solution

The third proportional to 6,213,798 and 8,395,244.25 is: 11,342,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,798 : 8,395,244.25 = 8,395,244.25 : x
  2. Step 2: Convert to fraction form
    6,213,798/8,395,244.25 = 8,395,244.25/x
  3. Step 3: Cross multiply
    6,213,798x = 8,395,244.25 × 8,395,244.25
  4. Step 4: Simplify right side
    6,213,798x = 70,480,126,017,158.06
  5. Step 5: Solve for x
    x = 70,480,126,017,158.06/6,213,798
  6. Step 6: Final answer
    x = 11,342,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.