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Finding the Third Proportional to 748,956,297.38 and 1,628,272,441.41

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Solution

The third proportional to 748,956,297.38 and 1,628,272,441.41 is: 3,539,954,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,956,297.38 : 1,628,272,441.41 = 1,628,272,441.41 : x
  2. Step 2: Convert to fraction form
    748,956,297.38/1,628,272,441.41 = 1,628,272,441.41/x
  3. Step 3: Cross multiply
    748,956,297.38x = 1,628,272,441.41 × 1,628,272,441.41
  4. Step 4: Simplify right side
    748,956,297.38x = 2,651,271,143,442,906,624
  5. Step 5: Solve for x
    x = 2,651,271,143,442,906,624/748,956,297.38
  6. Step 6: Final answer
    x = 3,539,954,404.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.