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Finding the Third Proportional to 6,288,718.50 and 13,768,258.50

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Solution

The third proportional to 6,288,718.50 and 13,768,258.50 is: 30,143,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288,718.50 : 13,768,258.50 = 13,768,258.50 : x
  2. Step 2: Convert to fraction form
    6,288,718.50/13,768,258.50 = 13,768,258.50/x
  3. Step 3: Cross multiply
    6,288,718.50x = 13,768,258.50 × 13,768,258.50
  4. Step 4: Simplify right side
    6,288,718.50x = 189,564,942,122,822.25
  5. Step 5: Solve for x
    x = 189,564,942,122,822.25/6,288,718.50
  6. Step 6: Final answer
    x = 30,143,652.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.