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Finding the Third Proportional to 27,416,683.13 and 42,589,255.13

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Solution

The third proportional to 27,416,683.13 and 42,589,255.13 is: 66,158,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416,683.13 : 42,589,255.13 = 42,589,255.13 : x
  2. Step 2: Convert to fraction form
    27,416,683.13/42,589,255.13 = 42,589,255.13/x
  3. Step 3: Cross multiply
    27,416,683.13x = 42,589,255.13 × 42,589,255.13
  4. Step 4: Simplify right side
    27,416,683.13x = 1,813,844,652,102,338.75
  5. Step 5: Solve for x
    x = 1,813,844,652,102,338.75/27,416,683.13
  6. Step 6: Final answer
    x = 66,158,427.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.