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Finding the Third Proportional to 2,582,588.84 and 5,630,189.20

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Solution

The third proportional to 2,582,588.84 and 5,630,189.20 is: 12,274,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,588.84 : 5,630,189.20 = 5,630,189.20 : x
  2. Step 2: Convert to fraction form
    2,582,588.84/5,630,189.20 = 5,630,189.20/x
  3. Step 3: Cross multiply
    2,582,588.84x = 5,630,189.20 × 5,630,189.20
  4. Step 4: Simplify right side
    2,582,588.84x = 31,699,030,462,985.32
  5. Step 5: Solve for x
    x = 31,699,030,462,985.32/2,582,588.84
  6. Step 6: Final answer
    x = 12,274,129.71

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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.