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Finding the Third Proportional to 1,000,092,394 and 2,153,790,204

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Solution

The third proportional to 1,000,092,394 and 2,153,790,204 is: 4,638,383,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,092,394 : 2,153,790,204 = 2,153,790,204 : x
  2. Step 2: Convert to fraction form
    1,000,092,394/2,153,790,204 = 2,153,790,204/x
  3. Step 3: Cross multiply
    1,000,092,394x = 2,153,790,204 × 2,153,790,204
  4. Step 4: Simplify right side
    1,000,092,394x = 4,638,812,242,846,361,600
  5. Step 5: Solve for x
    x = 4,638,812,242,846,361,600/1,000,092,394
  6. Step 6: Final answer
    x = 4,638,383,684.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.