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Finding the Third Proportional to 6,235,272 and 14,568,417

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Solution

The third proportional to 6,235,272 and 14,568,417 is: 34,038,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,272 : 14,568,417 = 14,568,417 : x
  2. Step 2: Convert to fraction form
    6,235,272/14,568,417 = 14,568,417/x
  3. Step 3: Cross multiply
    6,235,272x = 14,568,417 × 14,568,417
  4. Step 4: Simplify right side
    6,235,272x = 212,238,773,885,889
  5. Step 5: Solve for x
    x = 212,238,773,885,889/6,235,272
  6. Step 6: Final answer
    x = 34,038,414.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.