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Finding the Third Proportional to 38,290,416 and 57,462,144

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Solution

The third proportional to 38,290,416 and 57,462,144 is: 86,233,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,290,416 : 57,462,144 = 57,462,144 : x
  2. Step 2: Convert to fraction form
    38,290,416/57,462,144 = 57,462,144/x
  3. Step 3: Cross multiply
    38,290,416x = 57,462,144 × 57,462,144
  4. Step 4: Simplify right side
    38,290,416x = 3,301,897,993,076,736
  5. Step 5: Solve for x
    x = 3,301,897,993,076,736/38,290,416
  6. Step 6: Final answer
    x = 86,233,014.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.