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Finding the Third Proportional to 16,377,023.81 and 35,054,629.88

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Solution

The third proportional to 16,377,023.81 and 35,054,629.88 is: 75,033,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377,023.81 : 35,054,629.88 = 35,054,629.88 : x
  2. Step 2: Convert to fraction form
    16,377,023.81/35,054,629.88 = 35,054,629.88/x
  3. Step 3: Cross multiply
    16,377,023.81x = 35,054,629.88 × 35,054,629.88
  4. Step 4: Simplify right side
    16,377,023.81x = 1,228,827,075,673,242.50
  5. Step 5: Solve for x
    x = 1,228,827,075,673,242.50/16,377,023.81
  6. Step 6: Final answer
    x = 75,033,601.33

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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.