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Finding the Third Proportional to 180,503,748 and 279,035,782

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Solution

The third proportional to 180,503,748 and 279,035,782 is: 431,353,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,503,748 : 279,035,782 = 279,035,782 : x
  2. Step 2: Convert to fraction form
    180,503,748/279,035,782 = 279,035,782/x
  3. Step 3: Cross multiply
    180,503,748x = 279,035,782 × 279,035,782
  4. Step 4: Simplify right side
    180,503,748x = 77,860,967,636,351,520
  5. Step 5: Solve for x
    x = 77,860,967,636,351,520/180,503,748
  6. Step 6: Final answer
    x = 431,353,744.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.