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Finding the Third Proportional to 5,165,177.63 and 11,260,378.27

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Solution

The third proportional to 5,165,177.63 and 11,260,378.27 is: 24,548,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,177.63 : 11,260,378.27 = 11,260,378.27 : x
  2. Step 2: Convert to fraction form
    5,165,177.63/11,260,378.27 = 11,260,378.27/x
  3. Step 3: Cross multiply
    5,165,177.63x = 11,260,378.27 × 11,260,378.27
  4. Step 4: Simplify right side
    5,165,177.63x = 126,796,118,684,959.89
  5. Step 5: Solve for x
    x = 126,796,118,684,959.89/5,165,177.63
  6. Step 6: Final answer
    x = 24,548,259.11

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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.