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Finding the Third Proportional to 5,675,283 and 12,454,273.50

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Solution

The third proportional to 5,675,283 and 12,454,273.50 is: 27,330,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,283 : 12,454,273.50 = 12,454,273.50 : x
  2. Step 2: Convert to fraction form
    5,675,283/12,454,273.50 = 12,454,273.50/x
  3. Step 3: Cross multiply
    5,675,283x = 12,454,273.50 × 12,454,273.50
  4. Step 4: Simplify right side
    5,675,283x = 155,108,928,412,802.25
  5. Step 5: Solve for x
    x = 155,108,928,412,802.25/5,675,283
  6. Step 6: Final answer
    x = 27,330,606.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.