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Finding the Third Proportional to 1,348,898,634 and 2,023,347,813

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Solution

The third proportional to 1,348,898,634 and 2,023,347,813 is: 3,035,021,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,898,634 : 2,023,347,813 = 2,023,347,813 : x
  2. Step 2: Convert to fraction form
    1,348,898,634/2,023,347,813 = 2,023,347,813/x
  3. Step 3: Cross multiply
    1,348,898,634x = 2,023,347,813 × 2,023,347,813
  4. Step 4: Simplify right side
    1,348,898,634x = 4,093,936,372,371,883,008
  5. Step 5: Solve for x
    x = 4,093,936,372,371,883,008/1,348,898,634
  6. Step 6: Final answer
    x = 3,035,021,512.50

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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.