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Finding the Third Proportional to 226,781,738,382 and 485,910,793,290

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Solution

The third proportional to 226,781,738,382 and 485,910,793,290 is: 1,041,130,122,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,781,738,382 : 485,910,793,290 = 485,910,793,290 : x
  2. Step 2: Convert to fraction form
    226,781,738,382/485,910,793,290 = 485,910,793,290/x
  3. Step 3: Cross multiply
    226,781,738,382x = 485,910,793,290 × 485,910,793,290
  4. Step 4: Simplify right side
    226,781,738,382x = 236,109,299,035,717,100,371,968
  5. Step 5: Solve for x
    x = 236,109,299,035,717,100,371,968/226,781,738,382
  6. Step 6: Final answer
    x = 1,041,130,122,382.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.