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Finding the Third Proportional to 121,670,400 and 270,543,768

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Solution

The third proportional to 121,670,400 and 270,543,768 is: 601,575,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,670,400 : 270,543,768 = 270,543,768 : x
  2. Step 2: Convert to fraction form
    121,670,400/270,543,768 = 270,543,768/x
  3. Step 3: Cross multiply
    121,670,400x = 270,543,768 × 270,543,768
  4. Step 4: Simplify right side
    121,670,400x = 73,193,930,403,637,824
  5. Step 5: Solve for x
    x = 73,193,930,403,637,824/121,670,400
  6. Step 6: Final answer
    x = 601,575,489.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.