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Finding the Third Proportional to 1,000,092,404 and 2,153,790,224

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Solution

The third proportional to 1,000,092,404 and 2,153,790,224 is: 4,638,383,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,092,404 : 2,153,790,224 = 2,153,790,224 : x
  2. Step 2: Convert to fraction form
    1,000,092,404/2,153,790,224 = 2,153,790,224/x
  3. Step 3: Cross multiply
    1,000,092,404x = 2,153,790,224 × 2,153,790,224
  4. Step 4: Simplify right side
    1,000,092,404x = 4,638,812,328,997,969,920
  5. Step 5: Solve for x
    x = 4,638,812,328,997,969,920/1,000,092,404
  6. Step 6: Final answer
    x = 4,638,383,723.79

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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.