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Finding the Third Proportional to 36,414,111.94 and 78,022,242.56

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Solution

The third proportional to 36,414,111.94 and 78,022,242.56 is: 167,173,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,111.94 : 78,022,242.56 = 78,022,242.56 : x
  2. Step 2: Convert to fraction form
    36,414,111.94/78,022,242.56 = 78,022,242.56/x
  3. Step 3: Cross multiply
    36,414,111.94x = 78,022,242.56 × 78,022,242.56
  4. Step 4: Simplify right side
    36,414,111.94x = 6,087,470,334,481,587
  5. Step 5: Solve for x
    x = 6,087,470,334,481,587/36,414,111.94
  6. Step 6: Final answer
    x = 167,173,384.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.