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Finding the Third Proportional to 27,854,469.21 and 61,089,775.70

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Solution

The third proportional to 27,854,469.21 and 61,089,775.70 is: 133,980,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854,469.21 : 61,089,775.70 = 61,089,775.70 : x
  2. Step 2: Convert to fraction form
    27,854,469.21/61,089,775.70 = 61,089,775.70/x
  3. Step 3: Cross multiply
    27,854,469.21x = 61,089,775.70 × 61,089,775.70
  4. Step 4: Simplify right side
    27,854,469.21x = 3,731,960,694,981,254.50
  5. Step 5: Solve for x
    x = 3,731,960,694,981,254.50/27,854,469.21
  6. Step 6: Final answer
    x = 133,980,678.89

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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.