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Finding the Third Proportional to 84,768,952 and 183,089,524

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Solution

The third proportional to 84,768,952 and 183,089,524 is: 395,448,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768,952 : 183,089,524 = 183,089,524 : x
  2. Step 2: Convert to fraction form
    84,768,952/183,089,524 = 183,089,524/x
  3. Step 3: Cross multiply
    84,768,952x = 183,089,524 × 183,089,524
  4. Step 4: Simplify right side
    84,768,952x = 33,521,773,798,546,576
  5. Step 5: Solve for x
    x = 33,521,773,798,546,576/84,768,952
  6. Step 6: Final answer
    x = 395,448,722.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.