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Finding the Third Proportional to 61,618,765.50 and 130,112,912.25

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Solution

The third proportional to 61,618,765.50 and 130,112,912.25 is: 274,743,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,618,765.50 : 130,112,912.25 = 130,112,912.25 : x
  2. Step 2: Convert to fraction form
    61,618,765.50/130,112,912.25 = 130,112,912.25/x
  3. Step 3: Cross multiply
    61,618,765.50x = 130,112,912.25 × 130,112,912.25
  4. Step 4: Simplify right side
    61,618,765.50x = 16,929,369,934,176,200
  5. Step 5: Solve for x
    x = 16,929,369,934,176,200/61,618,765.50
  6. Step 6: Final answer
    x = 274,743,737.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.