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Finding the Third Proportional to 27,540,720.14 and 41,665,297.32

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Solution

The third proportional to 27,540,720.14 and 41,665,297.32 is: 63,033,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540,720.14 : 41,665,297.32 = 41,665,297.32 : x
  2. Step 2: Convert to fraction form
    27,540,720.14/41,665,297.32 = 41,665,297.32/x
  3. Step 3: Cross multiply
    27,540,720.14x = 41,665,297.32 × 41,665,297.32
  4. Step 4: Simplify right side
    27,540,720.14x = 1,735,997,001,115,487.50
  5. Step 5: Solve for x
    x = 1,735,997,001,115,487.50/27,540,720.14
  6. Step 6: Final answer
    x = 63,033,827.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.