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Finding the Third Proportional to 17,762,085 and 38,264,967

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Solution

The third proportional to 17,762,085 and 38,264,967 is: 82,434,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762,085 : 38,264,967 = 38,264,967 : x
  2. Step 2: Convert to fraction form
    17,762,085/38,264,967 = 38,264,967/x
  3. Step 3: Cross multiply
    17,762,085x = 38,264,967 × 38,264,967
  4. Step 4: Simplify right side
    17,762,085x = 1,464,207,699,511,089
  5. Step 5: Solve for x
    x = 1,464,207,699,511,089/17,762,085
  6. Step 6: Final answer
    x = 82,434,449.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.