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Finding the Third Proportional to 12,000,460.50 and 19,063,572.75

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Solution

The third proportional to 12,000,460.50 and 19,063,572.75 is: 30,283,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000,460.50 : 19,063,572.75 = 19,063,572.75 : x
  2. Step 2: Convert to fraction form
    12,000,460.50/19,063,572.75 = 19,063,572.75/x
  3. Step 3: Cross multiply
    12,000,460.50x = 19,063,572.75 × 19,063,572.75
  4. Step 4: Simplify right side
    12,000,460.50x = 363,419,805,994,542.56
  5. Step 5: Solve for x
    x = 363,419,805,994,542.56/12,000,460.50
  6. Step 6: Final answer
    x = 30,283,821.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.