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Finding the Third Proportional to 37,325,736 and 53,375,866.50

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Solution

The third proportional to 37,325,736 and 53,375,866.50 is: 76,327,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,325,736 : 53,375,866.50 = 53,375,866.50 : x
  2. Step 2: Convert to fraction form
    37,325,736/53,375,866.50 = 53,375,866.50/x
  3. Step 3: Cross multiply
    37,325,736x = 53,375,866.50 × 53,375,866.50
  4. Step 4: Simplify right side
    37,325,736x = 2,848,983,124,625,822
  5. Step 5: Solve for x
    x = 2,848,983,124,625,822/37,325,736
  6. Step 6: Final answer
    x = 76,327,580.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.