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Finding the Third Proportional to 1,257,486,237,030 and 2,735,297,074,542

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Solution

The third proportional to 1,257,486,237,030 and 2,735,297,074,542 is: 5,949,846,499,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,486,237,030 : 2,735,297,074,542 = 2,735,297,074,542 : x
  2. Step 2: Convert to fraction form
    1,257,486,237,030/2,735,297,074,542 = 2,735,297,074,542/x
  3. Step 3: Cross multiply
    1,257,486,237,030x = 2,735,297,074,542 × 2,735,297,074,542
  4. Step 4: Simplify right side
    1,257,486,237,030x = 7,481,850,085,998,023,940,243,456
  5. Step 5: Solve for x
    x = 7,481,850,085,998,023,940,243,456/1,257,486,237,030
  6. Step 6: Final answer
    x = 5,949,846,499,846.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.