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Finding the Third Proportional to 6,301,704 and 13,828,764

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Solution

The third proportional to 6,301,704 and 13,828,764 is: 30,346,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,704 : 13,828,764 = 13,828,764 : x
  2. Step 2: Convert to fraction form
    6,301,704/13,828,764 = 13,828,764/x
  3. Step 3: Cross multiply
    6,301,704x = 13,828,764 × 13,828,764
  4. Step 4: Simplify right side
    6,301,704x = 191,234,713,767,696
  5. Step 5: Solve for x
    x = 191,234,713,767,696/6,301,704
  6. Step 6: Final answer
    x = 30,346,508.46

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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.