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Finding the Third Proportional to 5,896,893.38 and 12,613,550.63

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Solution

The third proportional to 5,896,893.38 and 12,613,550.63 is: 26,980,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,893.38 : 12,613,550.63 = 12,613,550.63 : x
  2. Step 2: Convert to fraction form
    5,896,893.38/12,613,550.63 = 12,613,550.63/x
  3. Step 3: Cross multiply
    5,896,893.38x = 12,613,550.63 × 12,613,550.63
  4. Step 4: Simplify right side
    5,896,893.38x = 159,101,659,369,437.88
  5. Step 5: Solve for x
    x = 159,101,659,369,437.88/5,896,893.38
  6. Step 6: Final answer
    x = 26,980,589.48

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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.