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Finding the Third Proportional to 1,724,946,914 and 3,752,122,374

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Solution

The third proportional to 1,724,946,914 and 3,752,122,374 is: 8,161,655,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946,914 : 3,752,122,374 = 3,752,122,374 : x
  2. Step 2: Convert to fraction form
    1,724,946,914/3,752,122,374 = 3,752,122,374/x
  3. Step 3: Cross multiply
    1,724,946,914x = 3,752,122,374 × 3,752,122,374
  4. Step 4: Simplify right side
    1,724,946,914x = 14,078,422,309,471,395,840
  5. Step 5: Solve for x
    x = 14,078,422,309,471,395,840/1,724,946,914
  6. Step 6: Final answer
    x = 8,161,655,408.18

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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.