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Finding the Third Proportional to 6,179,881.50 and 13,423,709.25

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Solution

The third proportional to 6,179,881.50 and 13,423,709.25 is: 29,158,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179,881.50 : 13,423,709.25 = 13,423,709.25 : x
  2. Step 2: Convert to fraction form
    6,179,881.50/13,423,709.25 = 13,423,709.25/x
  3. Step 3: Cross multiply
    6,179,881.50x = 13,423,709.25 × 13,423,709.25
  4. Step 4: Simplify right side
    6,179,881.50x = 180,195,970,028,535.56
  5. Step 5: Solve for x
    x = 180,195,970,028,535.56/6,179,881.50
  6. Step 6: Final answer
    x = 29,158,483.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.