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Finding the Third Proportional to 2,424,592,682 and 5,227,638,676

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Solution

The third proportional to 2,424,592,682 and 5,227,638,676 is: 11,271,256,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,592,682 : 5,227,638,676 = 5,227,638,676 : x
  2. Step 2: Convert to fraction form
    2,424,592,682/5,227,638,676 = 5,227,638,676/x
  3. Step 3: Cross multiply
    2,424,592,682x = 5,227,638,676 × 5,227,638,676
  4. Step 4: Simplify right side
    2,424,592,682x = 27,328,206,126,811,033,600
  5. Step 5: Solve for x
    x = 27,328,206,126,811,033,600/2,424,592,682
  6. Step 6: Final answer
    x = 11,271,256,541.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.