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Finding the Third Proportional to 9,828,634,704 and 13,907,216,736

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Solution

The third proportional to 9,828,634,704 and 13,907,216,736 is: 19,678,285,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828,634,704 : 13,907,216,736 = 13,907,216,736 : x
  2. Step 2: Convert to fraction form
    9,828,634,704/13,907,216,736 = 13,907,216,736/x
  3. Step 3: Cross multiply
    9,828,634,704x = 13,907,216,736 × 13,907,216,736
  4. Step 4: Simplify right side
    9,828,634,704x = 193,410,677,342,078,500,864
  5. Step 5: Solve for x
    x = 193,410,677,342,078,500,864/9,828,634,704
  6. Step 6: Final answer
    x = 19,678,285,251.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.