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Finding the Third Proportional to 37,393,842 and 57,441,513

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Solution

The third proportional to 37,393,842 and 57,441,513 is: 88,237,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,393,842 : 57,441,513 = 57,441,513 : x
  2. Step 2: Convert to fraction form
    37,393,842/57,441,513 = 57,441,513/x
  3. Step 3: Cross multiply
    37,393,842x = 57,441,513 × 57,441,513
  4. Step 4: Simplify right side
    37,393,842x = 3,299,527,415,729,169
  5. Step 5: Solve for x
    x = 3,299,527,415,729,169/37,393,842
  6. Step 6: Final answer
    x = 88,237,186.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.