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Finding the Third Proportional to 6,463,080 and 9,828,906.75

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Solution

The third proportional to 6,463,080 and 9,828,906.75 is: 14,947,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,080 : 9,828,906.75 = 9,828,906.75 : x
  2. Step 2: Convert to fraction form
    6,463,080/9,828,906.75 = 9,828,906.75/x
  3. Step 3: Cross multiply
    6,463,080x = 9,828,906.75 × 9,828,906.75
  4. Step 4: Simplify right side
    6,463,080x = 96,607,407,900,195.56
  5. Step 5: Solve for x
    x = 96,607,407,900,195.56/6,463,080
  6. Step 6: Final answer
    x = 14,947,580.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.