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Finding the Third Proportional to 6,896,977.50 and 16,258,100.25

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Solution

The third proportional to 6,896,977.50 and 16,258,100.25 is: 38,324,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,977.50 : 16,258,100.25 = 16,258,100.25 : x
  2. Step 2: Convert to fraction form
    6,896,977.50/16,258,100.25 = 16,258,100.25/x
  3. Step 3: Cross multiply
    6,896,977.50x = 16,258,100.25 × 16,258,100.25
  4. Step 4: Simplify right side
    6,896,977.50x = 264,325,823,739,050.06
  5. Step 5: Solve for x
    x = 264,325,823,739,050.06/6,896,977.50
  6. Step 6: Final answer
    x = 38,324,878.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.