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Finding the Third Proportional to 12,086,832 and 18,742,971.75

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Solution

The third proportional to 12,086,832 and 18,742,971.75 is: 29,064,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086,832 : 18,742,971.75 = 18,742,971.75 : x
  2. Step 2: Convert to fraction form
    12,086,832/18,742,971.75 = 18,742,971.75/x
  3. Step 3: Cross multiply
    12,086,832x = 18,742,971.75 × 18,742,971.75
  4. Step 4: Simplify right side
    12,086,832x = 351,298,990,021,298.06
  5. Step 5: Solve for x
    x = 351,298,990,021,298.06/12,086,832
  6. Step 6: Final answer
    x = 29,064,604.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.