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Finding the Third Proportional to 1,697,391,941 and 3,710,334,934

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Solution

The third proportional to 1,697,391,941 and 3,710,334,934 is: 8,110,434,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,391,941 : 3,710,334,934 = 3,710,334,934 : x
  2. Step 2: Convert to fraction form
    1,697,391,941/3,710,334,934 = 3,710,334,934/x
  3. Step 3: Cross multiply
    1,697,391,941x = 3,710,334,934 × 3,710,334,934
  4. Step 4: Simplify right side
    1,697,391,941x = 13,766,585,322,460,784,640
  5. Step 5: Solve for x
    x = 13,766,585,322,460,784,640/1,697,391,941
  6. Step 6: Final answer
    x = 8,110,434,007.57

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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.