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Finding the Third Proportional to 7,686,906 and 11,298,969

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Solution

The third proportional to 7,686,906 and 11,298,969 is: 16,608,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686,906 : 11,298,969 = 11,298,969 : x
  2. Step 2: Convert to fraction form
    7,686,906/11,298,969 = 11,298,969/x
  3. Step 3: Cross multiply
    7,686,906x = 11,298,969 × 11,298,969
  4. Step 4: Simplify right side
    7,686,906x = 127,666,700,462,961
  5. Step 5: Solve for x
    x = 127,666,700,462,961/7,686,906
  6. Step 6: Final answer
    x = 16,608,333.76

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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.