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Finding the Third Proportional to 6,032,781 and 14,229,076.50

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Solution

The third proportional to 6,032,781 and 14,229,076.50 is: 33,561,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032,781 : 14,229,076.50 = 14,229,076.50 : x
  2. Step 2: Convert to fraction form
    6,032,781/14,229,076.50 = 14,229,076.50/x
  3. Step 3: Cross multiply
    6,032,781x = 14,229,076.50 × 14,229,076.50
  4. Step 4: Simplify right side
    6,032,781x = 202,466,618,042,852.25
  5. Step 5: Solve for x
    x = 202,466,618,042,852.25/6,032,781
  6. Step 6: Final answer
    x = 33,561,075.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.