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Finding the Third Proportional to 5,431,384.13 and 11,651,333.63

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Solution

The third proportional to 5,431,384.13 and 11,651,333.63 is: 24,994,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,384.13 : 11,651,333.63 = 11,651,333.63 : x
  2. Step 2: Convert to fraction form
    5,431,384.13/11,651,333.63 = 11,651,333.63/x
  3. Step 3: Cross multiply
    5,431,384.13x = 11,651,333.63 × 11,651,333.63
  4. Step 4: Simplify right side
    5,431,384.13x = 135,753,575,241,055.64
  5. Step 5: Solve for x
    x = 135,753,575,241,055.64/5,431,384.13
  6. Step 6: Final answer
    x = 24,994,287.30

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