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Finding the Third Proportional to 35,741,026.50 and 78,036,522.50

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Solution

The third proportional to 35,741,026.50 and 78,036,522.50 is: 170,383,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741,026.50 : 78,036,522.50 = 78,036,522.50 : x
  2. Step 2: Convert to fraction form
    35,741,026.50/78,036,522.50 = 78,036,522.50/x
  3. Step 3: Cross multiply
    35,741,026.50x = 78,036,522.50 × 78,036,522.50
  4. Step 4: Simplify right side
    35,741,026.50x = 6,089,698,843,893,006
  5. Step 5: Solve for x
    x = 6,089,698,843,893,006/35,741,026.50
  6. Step 6: Final answer
    x = 170,383,993.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.