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Finding the Third Proportional to 6,458,460 and 13,844,208

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Solution

The third proportional to 6,458,460 and 13,844,208 is: 29,676,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,460 : 13,844,208 = 13,844,208 : x
  2. Step 2: Convert to fraction form
    6,458,460/13,844,208 = 13,844,208/x
  3. Step 3: Cross multiply
    6,458,460x = 13,844,208 × 13,844,208
  4. Step 4: Simplify right side
    6,458,460x = 191,662,095,147,264
  5. Step 5: Solve for x
    x = 191,662,095,147,264/6,458,460
  6. Step 6: Final answer
    x = 29,676,129.47

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