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Finding the Third Proportional to 22,998,780.75 and 49,188,667.50

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Solution

The third proportional to 22,998,780.75 and 49,188,667.50 is: 105,202,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998,780.75 : 49,188,667.50 = 49,188,667.50 : x
  2. Step 2: Convert to fraction form
    22,998,780.75/49,188,667.50 = 49,188,667.50/x
  3. Step 3: Cross multiply
    22,998,780.75x = 49,188,667.50 × 49,188,667.50
  4. Step 4: Simplify right side
    22,998,780.75x = 2,419,525,010,425,556
  5. Step 5: Solve for x
    x = 2,419,525,010,425,556/22,998,780.75
  6. Step 6: Final answer
    x = 105,202,316.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.