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Finding the Third Proportional to 6,509,258 and 13,613,380

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Solution

The third proportional to 6,509,258 and 13,613,380 is: 28,470,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,258 : 13,613,380 = 13,613,380 : x
  2. Step 2: Convert to fraction form
    6,509,258/13,613,380 = 13,613,380/x
  3. Step 3: Cross multiply
    6,509,258x = 13,613,380 × 13,613,380
  4. Step 4: Simplify right side
    6,509,258x = 185,324,115,024,400
  5. Step 5: Solve for x
    x = 185,324,115,024,400/6,509,258
  6. Step 6: Final answer
    x = 28,470,851.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.