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Finding the Third Proportional to 14,206,428 and 30,682,834

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Solution

The third proportional to 14,206,428 and 30,682,834 is: 66,268,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206,428 : 30,682,834 = 30,682,834 : x
  2. Step 2: Convert to fraction form
    14,206,428/30,682,834 = 30,682,834/x
  3. Step 3: Cross multiply
    14,206,428x = 30,682,834 × 30,682,834
  4. Step 4: Simplify right side
    14,206,428x = 941,436,302,271,556
  5. Step 5: Solve for x
    x = 941,436,302,271,556/14,206,428
  6. Step 6: Final answer
    x = 66,268,333.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.