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Finding the Third Proportional to 12,032,633 and 25,983,400

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Solution

The third proportional to 12,032,633 and 25,983,400 is: 56,108,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032,633 : 25,983,400 = 25,983,400 : x
  2. Step 2: Convert to fraction form
    12,032,633/25,983,400 = 25,983,400/x
  3. Step 3: Cross multiply
    12,032,633x = 25,983,400 × 25,983,400
  4. Step 4: Simplify right side
    12,032,633x = 675,137,075,560,000
  5. Step 5: Solve for x
    x = 675,137,075,560,000/12,032,633
  6. Step 6: Final answer
    x = 56,108,839.65

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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.