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Finding the Third Proportional to 2,775,678.75 and 6,425,296.88

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Solution

The third proportional to 2,775,678.75 and 6,425,296.88 is: 14,873,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775,678.75 : 6,425,296.88 = 6,425,296.88 : x
  2. Step 2: Convert to fraction form
    2,775,678.75/6,425,296.88 = 6,425,296.88/x
  3. Step 3: Cross multiply
    2,775,678.75x = 6,425,296.88 × 6,425,296.88
  4. Step 4: Simplify right side
    2,775,678.75x = 41,284,439,931,884.77
  5. Step 5: Solve for x
    x = 41,284,439,931,884.77/2,775,678.75
  6. Step 6: Final answer
    x = 14,873,637.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.