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Finding the Third Proportional to 6,725,565 and 9,437,297.25

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Solution

The third proportional to 6,725,565 and 9,437,297.25 is: 13,242,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,565 : 9,437,297.25 = 9,437,297.25 : x
  2. Step 2: Convert to fraction form
    6,725,565/9,437,297.25 = 9,437,297.25/x
  3. Step 3: Cross multiply
    6,725,565x = 9,437,297.25 × 9,437,297.25
  4. Step 4: Simplify right side
    6,725,565x = 89,062,579,384,857.56
  5. Step 5: Solve for x
    x = 89,062,579,384,857.56/6,725,565
  6. Step 6: Final answer
    x = 13,242,393.67

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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.