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Finding the Third Proportional to 6,301,352 and 13,743,022

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Solution

The third proportional to 6,301,352 and 13,743,022 is: 29,973,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,352 : 13,743,022 = 13,743,022 : x
  2. Step 2: Convert to fraction form
    6,301,352/13,743,022 = 13,743,022/x
  3. Step 3: Cross multiply
    6,301,352x = 13,743,022 × 13,743,022
  4. Step 4: Simplify right side
    6,301,352x = 188,870,653,692,484
  5. Step 5: Solve for x
    x = 188,870,653,692,484/6,301,352
  6. Step 6: Final answer
    x = 29,973,036.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.