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Finding the Third Proportional to 12,123,286.50 and 19,193,265

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Solution

The third proportional to 12,123,286.50 and 19,193,265 is: 30,386,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123,286.50 : 19,193,265 = 19,193,265 : x
  2. Step 2: Convert to fraction form
    12,123,286.50/19,193,265 = 19,193,265/x
  3. Step 3: Cross multiply
    12,123,286.50x = 19,193,265 × 19,193,265
  4. Step 4: Simplify right side
    12,123,286.50x = 368,381,421,360,225
  5. Step 5: Solve for x
    x = 368,381,421,360,225/12,123,286.50
  6. Step 6: Final answer
    x = 30,386,267.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.