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Finding the Third Proportional to 10,485,684 and 14,166,816

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Solution

The third proportional to 10,485,684 and 14,166,816 is: 19,140,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,684 : 14,166,816 = 14,166,816 : x
  2. Step 2: Convert to fraction form
    10,485,684/14,166,816 = 14,166,816/x
  3. Step 3: Cross multiply
    10,485,684x = 14,166,816 × 14,166,816
  4. Step 4: Simplify right side
    10,485,684x = 200,698,675,577,856
  5. Step 5: Solve for x
    x = 200,698,675,577,856/10,485,684
  6. Step 6: Final answer
    x = 19,140,255.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.