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Finding the Third Proportional to 2,148,084,609 and 3,208,897,629

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Solution

The third proportional to 2,148,084,609 and 3,208,897,629 is: 4,793,583,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,084,609 : 3,208,897,629 = 3,208,897,629 : x
  2. Step 2: Convert to fraction form
    2,148,084,609/3,208,897,629 = 3,208,897,629/x
  3. Step 3: Cross multiply
    2,148,084,609x = 3,208,897,629 × 3,208,897,629
  4. Step 4: Simplify right side
    2,148,084,609x = 10,297,023,993,401,821,184
  5. Step 5: Solve for x
    x = 10,297,023,993,401,821,184/2,148,084,609
  6. Step 6: Final answer
    x = 4,793,583,991.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.