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Finding the Third Proportional to 632,954,238,401 and 1,357,792,126,692

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Solution

The third proportional to 632,954,238,401 and 1,357,792,126,692 is: 2,912,689,966,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,954,238,401 : 1,357,792,126,692 = 1,357,792,126,692 : x
  2. Step 2: Convert to fraction form
    632,954,238,401/1,357,792,126,692 = 1,357,792,126,692/x
  3. Step 3: Cross multiply
    632,954,238,401x = 1,357,792,126,692 × 1,357,792,126,692
  4. Step 4: Simplify right side
    632,954,238,401x = 1,843,599,459,306,784,065,323,008
  5. Step 5: Solve for x
    x = 1,843,599,459,306,784,065,323,008/632,954,238,401
  6. Step 6: Final answer
    x = 2,912,689,966,282.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.