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Finding the Third Proportional to 5,942,462 and 13,020,714

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Solution

The third proportional to 5,942,462 and 13,020,714 is: 28,530,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942,462 : 13,020,714 = 13,020,714 : x
  2. Step 2: Convert to fraction form
    5,942,462/13,020,714 = 13,020,714/x
  3. Step 3: Cross multiply
    5,942,462x = 13,020,714 × 13,020,714
  4. Step 4: Simplify right side
    5,942,462x = 169,538,993,069,796
  5. Step 5: Solve for x
    x = 169,538,993,069,796/5,942,462
  6. Step 6: Final answer
    x = 28,530,092.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.