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Finding the Third Proportional to 2,411,298.56 and 5,201,199.56

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Solution

The third proportional to 2,411,298.56 and 5,201,199.56 is: 11,219,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,298.56 : 5,201,199.56 = 5,201,199.56 : x
  2. Step 2: Convert to fraction form
    2,411,298.56/5,201,199.56 = 5,201,199.56/x
  3. Step 3: Cross multiply
    2,411,298.56x = 5,201,199.56 × 5,201,199.56
  4. Step 4: Simplify right side
    2,411,298.56x = 27,052,476,888,950.19
  5. Step 5: Solve for x
    x = 27,052,476,888,950.19/2,411,298.56
  6. Step 6: Final answer
    x = 11,219,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.