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Finding the Third Proportional to 7,812,977.77 and 17,138,676.09

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Solution

The third proportional to 7,812,977.77 and 17,138,676.09 is: 37,595,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,977.77 : 17,138,676.09 = 17,138,676.09 : x
  2. Step 2: Convert to fraction form
    7,812,977.77/17,138,676.09 = 17,138,676.09/x
  3. Step 3: Cross multiply
    7,812,977.77x = 17,138,676.09 × 17,138,676.09
  4. Step 4: Simplify right side
    7,812,977.77x = 293,734,218,246,477.75
  5. Step 5: Solve for x
    x = 293,734,218,246,477.75/7,812,977.77
  6. Step 6: Final answer
    x = 37,595,680.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.