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Finding the Third Proportional to 27,833,223.75 and 57,575,698.50

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Solution

The third proportional to 27,833,223.75 and 57,575,698.50 is: 119,100,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833,223.75 : 57,575,698.50 = 57,575,698.50 : x
  2. Step 2: Convert to fraction form
    27,833,223.75/57,575,698.50 = 57,575,698.50/x
  3. Step 3: Cross multiply
    27,833,223.75x = 57,575,698.50 × 57,575,698.50
  4. Step 4: Simplify right side
    27,833,223.75x = 3,314,961,057,762,902
  5. Step 5: Solve for x
    x = 3,314,961,057,762,902/27,833,223.75
  6. Step 6: Final answer
    x = 119,100,866.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.