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Finding the Third Proportional to 12,123,313.50 and 19,193,304

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Solution

The third proportional to 12,123,313.50 and 19,193,304 is: 30,386,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123,313.50 : 19,193,304 = 19,193,304 : x
  2. Step 2: Convert to fraction form
    12,123,313.50/19,193,304 = 19,193,304/x
  3. Step 3: Cross multiply
    12,123,313.50x = 19,193,304 × 19,193,304
  4. Step 4: Simplify right side
    12,123,313.50x = 368,382,918,436,416
  5. Step 5: Solve for x
    x = 368,382,918,436,416/12,123,313.50
  6. Step 6: Final answer
    x = 30,386,322.88

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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.