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Finding the Third Proportional to 13,933,728 and 29,137,933.50

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Solution

The third proportional to 13,933,728 and 29,137,933.50 is: 60,932,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933,728 : 29,137,933.50 = 29,137,933.50 : x
  2. Step 2: Convert to fraction form
    13,933,728/29,137,933.50 = 29,137,933.50/x
  3. Step 3: Cross multiply
    13,933,728x = 29,137,933.50 × 29,137,933.50
  4. Step 4: Simplify right side
    13,933,728x = 849,019,168,650,422.25
  5. Step 5: Solve for x
    x = 849,019,168,650,422.25/13,933,728
  6. Step 6: Final answer
    x = 60,932,664.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.