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Finding the Third Proportional to 6,301,708 and 13,828,772

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Solution

The third proportional to 6,301,708 and 13,828,772 is: 30,346,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,708 : 13,828,772 = 13,828,772 : x
  2. Step 2: Convert to fraction form
    6,301,708/13,828,772 = 13,828,772/x
  3. Step 3: Cross multiply
    6,301,708x = 13,828,772 × 13,828,772
  4. Step 4: Simplify right side
    6,301,708x = 191,234,935,027,984
  5. Step 5: Solve for x
    x = 191,234,935,027,984/6,301,708
  6. Step 6: Final answer
    x = 30,346,524.31

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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.