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Finding the Third Proportional to 37,665,000 and 53,310,615.75

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Solution

The third proportional to 37,665,000 and 53,310,615.75 is: 75,455,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665,000 : 53,310,615.75 = 53,310,615.75 : x
  2. Step 2: Convert to fraction form
    37,665,000/53,310,615.75 = 53,310,615.75/x
  3. Step 3: Cross multiply
    37,665,000x = 53,310,615.75 × 53,310,615.75
  4. Step 4: Simplify right side
    37,665,000x = 2,842,021,751,644,148
  5. Step 5: Solve for x
    x = 2,842,021,751,644,148/37,665,000
  6. Step 6: Final answer
    x = 75,455,243.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.