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Finding the Third Proportional to 174,854,673 and 379,211,782

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Solution

The third proportional to 174,854,673 and 379,211,782 is: 822,406,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,854,673 : 379,211,782 = 379,211,782 : x
  2. Step 2: Convert to fraction form
    174,854,673/379,211,782 = 379,211,782/x
  3. Step 3: Cross multiply
    174,854,673x = 379,211,782 × 379,211,782
  4. Step 4: Simplify right side
    174,854,673x = 143,801,575,607,615,520
  5. Step 5: Solve for x
    x = 143,801,575,607,615,520/174,854,673
  6. Step 6: Final answer
    x = 822,406,248.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.