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Finding the Third Proportional to 2,633,464 and 5,659,784

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Solution

The third proportional to 2,633,464 and 5,659,784 is: 12,163,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633,464 : 5,659,784 = 5,659,784 : x
  2. Step 2: Convert to fraction form
    2,633,464/5,659,784 = 5,659,784/x
  3. Step 3: Cross multiply
    2,633,464x = 5,659,784 × 5,659,784
  4. Step 4: Simplify right side
    2,633,464x = 32,033,154,926,656
  5. Step 5: Solve for x
    x = 32,033,154,926,656/2,633,464
  6. Step 6: Final answer
    x = 12,163,885.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.