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Finding the Third Proportional to 1,348,898,638 and 2,023,347,819

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Solution

The third proportional to 1,348,898,638 and 2,023,347,819 is: 3,035,021,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,898,638 : 2,023,347,819 = 2,023,347,819 : x
  2. Step 2: Convert to fraction form
    1,348,898,638/2,023,347,819 = 2,023,347,819/x
  3. Step 3: Cross multiply
    1,348,898,638x = 2,023,347,819 × 2,023,347,819
  4. Step 4: Simplify right side
    1,348,898,638x = 4,093,936,396,652,056,576
  5. Step 5: Solve for x
    x = 4,093,936,396,652,056,576/1,348,898,638
  6. Step 6: Final answer
    x = 3,035,021,521.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.