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Finding the Third Proportional to 36,848,353.50 and 78,872,938.50

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Solution

The third proportional to 36,848,353.50 and 78,872,938.50 is: 168,825,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848,353.50 : 78,872,938.50 = 78,872,938.50 : x
  2. Step 2: Convert to fraction form
    36,848,353.50/78,872,938.50 = 78,872,938.50/x
  3. Step 3: Cross multiply
    36,848,353.50x = 78,872,938.50 × 78,872,938.50
  4. Step 4: Simplify right side
    36,848,353.50x = 6,220,940,427,624,782
  5. Step 5: Solve for x
    x = 6,220,940,427,624,782/36,848,353.50
  6. Step 6: Final answer
    x = 168,825,465.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.