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Finding the Third Proportional to 1,590,178,160 and 3,401,435,728

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Solution

The third proportional to 1,590,178,160 and 3,401,435,728 is: 7,275,766,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,178,160 : 3,401,435,728 = 3,401,435,728 : x
  2. Step 2: Convert to fraction form
    1,590,178,160/3,401,435,728 = 3,401,435,728/x
  3. Step 3: Cross multiply
    1,590,178,160x = 3,401,435,728 × 3,401,435,728
  4. Step 4: Simplify right side
    1,590,178,160x = 11,569,765,011,714,889,728
  5. Step 5: Solve for x
    x = 11,569,765,011,714,889,728/1,590,178,160
  6. Step 6: Final answer
    x = 7,275,766,516.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.