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Finding the Third Proportional to 1,559,642,812 and 3,467,999,492

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Solution

The third proportional to 1,559,642,812 and 3,467,999,492 is: 7,711,394,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,642,812 : 3,467,999,492 = 3,467,999,492 : x
  2. Step 2: Convert to fraction form
    1,559,642,812/3,467,999,492 = 3,467,999,492/x
  3. Step 3: Cross multiply
    1,559,642,812x = 3,467,999,492 × 3,467,999,492
  4. Step 4: Simplify right side
    1,559,642,812x = 12,027,020,476,512,258,048
  5. Step 5: Solve for x
    x = 12,027,020,476,512,258,048/1,559,642,812
  6. Step 6: Final answer
    x = 7,711,394,162.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.