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Finding the Third Proportional to 2,083,187,802 and 3,173,619,634.50

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Solution

The third proportional to 2,083,187,802 and 3,173,619,634.50 is: 4,834,831,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,187,802 : 3,173,619,634.50 = 3,173,619,634.50 : x
  2. Step 2: Convert to fraction form
    2,083,187,802/3,173,619,634.50 = 3,173,619,634.50/x
  3. Step 3: Cross multiply
    2,083,187,802x = 3,173,619,634.50 × 3,173,619,634.50
  4. Step 4: Simplify right side
    2,083,187,802x = 10,071,861,584,483,913,728
  5. Step 5: Solve for x
    x = 10,071,861,584,483,913,728/2,083,187,802
  6. Step 6: Final answer
    x = 4,834,831,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.