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Finding the Third Proportional to 11,827,164.75 and 17,291,728.50

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Solution

The third proportional to 11,827,164.75 and 17,291,728.50 is: 25,281,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827,164.75 : 17,291,728.50 = 17,291,728.50 : x
  2. Step 2: Convert to fraction form
    11,827,164.75/17,291,728.50 = 17,291,728.50/x
  3. Step 3: Cross multiply
    11,827,164.75x = 17,291,728.50 × 17,291,728.50
  4. Step 4: Simplify right side
    11,827,164.75x = 299,003,874,517,712.25
  5. Step 5: Solve for x
    x = 299,003,874,517,712.25/11,827,164.75
  6. Step 6: Final answer
    x = 25,281,111.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.