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Finding the Third Proportional to 383,846,652 and 835,845,624

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Solution

The third proportional to 383,846,652 and 835,845,624 is: 1,820,096,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,846,652 : 835,845,624 = 835,845,624 : x
  2. Step 2: Convert to fraction form
    383,846,652/835,845,624 = 835,845,624/x
  3. Step 3: Cross multiply
    383,846,652x = 835,845,624 × 835,845,624
  4. Step 4: Simplify right side
    383,846,652x = 698,637,907,159,949,312
  5. Step 5: Solve for x
    x = 698,637,907,159,949,312/383,846,652
  6. Step 6: Final answer
    x = 1,820,096,394.02

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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.