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Finding the Third Proportional to 27,854,473 and 61,089,783

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Solution

The third proportional to 27,854,473 and 61,089,783 is: 133,980,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854,473 : 61,089,783 = 61,089,783 : x
  2. Step 2: Convert to fraction form
    27,854,473/61,089,783 = 61,089,783/x
  3. Step 3: Cross multiply
    27,854,473x = 61,089,783 × 61,089,783
  4. Step 4: Simplify right side
    27,854,473x = 3,731,961,586,987,089
  5. Step 5: Solve for x
    x = 3,731,961,586,987,089/27,854,473
  6. Step 6: Final answer
    x = 133,980,692.69

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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.