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Finding the Third Proportional to 7,686,926 and 11,298,996

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Solution

The third proportional to 7,686,926 and 11,298,996 is: 16,608,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686,926 : 11,298,996 = 11,298,996 : x
  2. Step 2: Convert to fraction form
    7,686,926/11,298,996 = 11,298,996/x
  3. Step 3: Cross multiply
    7,686,926x = 11,298,996 × 11,298,996
  4. Step 4: Simplify right side
    7,686,926x = 127,667,310,608,016
  5. Step 5: Solve for x
    x = 127,667,310,608,016/7,686,926
  6. Step 6: Final answer
    x = 16,608,369.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.