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Finding the Third Proportional to 11,511,420 and 24,764,784

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Solution

The third proportional to 11,511,420 and 24,764,784 is: 53,277,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511,420 : 24,764,784 = 24,764,784 : x
  2. Step 2: Convert to fraction form
    11,511,420/24,764,784 = 24,764,784/x
  3. Step 3: Cross multiply
    11,511,420x = 24,764,784 × 24,764,784
  4. Step 4: Simplify right side
    11,511,420x = 613,294,526,566,656
  5. Step 5: Solve for x
    x = 613,294,526,566,656/11,511,420
  6. Step 6: Final answer
    x = 53,277,052.40

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Why These Related Problems?

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