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Finding the Third Proportional to 598,588,156,252 and 1,302,551,967,800

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Solution

The third proportional to 598,588,156,252 and 1,302,551,967,800 is: 2,834,405,611,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,588,156,252 : 1,302,551,967,800 = 1,302,551,967,800 : x
  2. Step 2: Convert to fraction form
    598,588,156,252/1,302,551,967,800 = 1,302,551,967,800/x
  3. Step 3: Cross multiply
    598,588,156,252x = 1,302,551,967,800 × 1,302,551,967,800
  4. Step 4: Simplify right side
    598,588,156,252x = 1,696,641,628,819,652,157,112,320
  5. Step 5: Solve for x
    x = 1,696,641,628,819,652,157,112,320/598,588,156,252
  6. Step 6: Final answer
    x = 2,834,405,611,101.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.