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Finding the Third Proportional to 5,345,182 and 11,655,154

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Solution

The third proportional to 5,345,182 and 11,655,154 is: 25,414,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345,182 : 11,655,154 = 11,655,154 : x
  2. Step 2: Convert to fraction form
    5,345,182/11,655,154 = 11,655,154/x
  3. Step 3: Cross multiply
    5,345,182x = 11,655,154 × 11,655,154
  4. Step 4: Simplify right side
    5,345,182x = 135,842,614,763,716
  5. Step 5: Solve for x
    x = 135,842,614,763,716/5,345,182
  6. Step 6: Final answer
    x = 25,414,029.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.