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Finding the Third Proportional to 2,147,360.63 and 4,630,964.91

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Solution

The third proportional to 2,147,360.63 and 4,630,964.91 is: 9,987,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,360.63 : 4,630,964.91 = 4,630,964.91 : x
  2. Step 2: Convert to fraction form
    2,147,360.63/4,630,964.91 = 4,630,964.91/x
  3. Step 3: Cross multiply
    2,147,360.63x = 4,630,964.91 × 4,630,964.91
  4. Step 4: Simplify right side
    2,147,360.63x = 21,445,835,962,919.07
  5. Step 5: Solve for x
    x = 21,445,835,962,919.07/2,147,360.63
  6. Step 6: Final answer
    x = 9,987,067.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.