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Finding the Third Proportional to 34,238,294.25 and 69,672,308.25

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Solution

The third proportional to 34,238,294.25 and 69,672,308.25 is: 141,777,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238,294.25 : 69,672,308.25 = 69,672,308.25 : x
  2. Step 2: Convert to fraction form
    34,238,294.25/69,672,308.25 = 69,672,308.25/x
  3. Step 3: Cross multiply
    34,238,294.25x = 69,672,308.25 × 69,672,308.25
  4. Step 4: Simplify right side
    34,238,294.25x = 4,854,230,536,883,018
  5. Step 5: Solve for x
    x = 4,854,230,536,883,018/34,238,294.25
  6. Step 6: Final answer
    x = 141,777,814.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.