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Finding the Third Proportional to 8,423,821.50 and 12,037,858.50

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Solution

The third proportional to 8,423,821.50 and 12,037,858.50 is: 17,202,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,821.50 : 12,037,858.50 = 12,037,858.50 : x
  2. Step 2: Convert to fraction form
    8,423,821.50/12,037,858.50 = 12,037,858.50/x
  3. Step 3: Cross multiply
    8,423,821.50x = 12,037,858.50 × 12,037,858.50
  4. Step 4: Simplify right side
    8,423,821.50x = 144,910,037,266,022.25
  5. Step 5: Solve for x
    x = 144,910,037,266,022.25/8,423,821.50
  6. Step 6: Final answer
    x = 17,202,410.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.