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Finding the Third Proportional to 6,300,078.75 and 13,463,718.75

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Solution

The third proportional to 6,300,078.75 and 13,463,718.75 is: 28,772,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,078.75 : 13,463,718.75 = 13,463,718.75 : x
  2. Step 2: Convert to fraction form
    6,300,078.75/13,463,718.75 = 13,463,718.75/x
  3. Step 3: Cross multiply
    6,300,078.75x = 13,463,718.75 × 13,463,718.75
  4. Step 4: Simplify right side
    6,300,078.75x = 181,271,722,579,101.56
  5. Step 5: Solve for x
    x = 181,271,722,579,101.56/6,300,078.75
  6. Step 6: Final answer
    x = 28,772,929.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.