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Finding the Third Proportional to 281,254,518 and 616,967,523

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Solution

The third proportional to 281,254,518 and 616,967,523 is: 1,353,396,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,254,518 : 616,967,523 = 616,967,523 : x
  2. Step 2: Convert to fraction form
    281,254,518/616,967,523 = 616,967,523/x
  3. Step 3: Cross multiply
    281,254,518x = 616,967,523 × 616,967,523
  4. Step 4: Simplify right side
    281,254,518x = 380,648,924,436,755,520
  5. Step 5: Solve for x
    x = 380,648,924,436,755,520/281,254,518
  6. Step 6: Final answer
    x = 1,353,396,657.03

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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.