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Finding the Third Proportional to 8,834,058 and 13,198,315.50

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Solution

The third proportional to 8,834,058 and 13,198,315.50 is: 19,718,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834,058 : 13,198,315.50 = 13,198,315.50 : x
  2. Step 2: Convert to fraction form
    8,834,058/13,198,315.50 = 13,198,315.50/x
  3. Step 3: Cross multiply
    8,834,058x = 13,198,315.50 × 13,198,315.50
  4. Step 4: Simplify right side
    8,834,058x = 174,195,532,037,540.25
  5. Step 5: Solve for x
    x = 174,195,532,037,540.25/8,834,058
  6. Step 6: Final answer
    x = 19,718,631.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.