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Finding the Third Proportional to 9,631,757 and 14,529,283.50

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Solution

The third proportional to 9,631,757 and 14,529,283.50 is: 21,917,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631,757 : 14,529,283.50 = 14,529,283.50 : x
  2. Step 2: Convert to fraction form
    9,631,757/14,529,283.50 = 14,529,283.50/x
  3. Step 3: Cross multiply
    9,631,757x = 14,529,283.50 × 14,529,283.50
  4. Step 4: Simplify right side
    9,631,757x = 211,100,079,023,372.25
  5. Step 5: Solve for x
    x = 211,100,079,023,372.25/9,631,757
  6. Step 6: Final answer
    x = 21,917,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.