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Finding the Third Proportional to 1,401,324,714 and 1,971,136,710

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Solution

The third proportional to 1,401,324,714 and 1,971,136,710 is: 2,772,647,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,324,714 : 1,971,136,710 = 1,971,136,710 : x
  2. Step 2: Convert to fraction form
    1,401,324,714/1,971,136,710 = 1,971,136,710/x
  3. Step 3: Cross multiply
    1,401,324,714x = 1,971,136,710 × 1,971,136,710
  4. Step 4: Simplify right side
    1,401,324,714x = 3,885,379,929,509,624,320
  5. Step 5: Solve for x
    x = 3,885,379,929,509,624,320/1,401,324,714
  6. Step 6: Final answer
    x = 2,772,647,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.