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Finding the Third Proportional to 6,133,123.50 and 13,380,264

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Solution

The third proportional to 6,133,123.50 and 13,380,264 is: 29,190,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,123.50 : 13,380,264 = 13,380,264 : x
  2. Step 2: Convert to fraction form
    6,133,123.50/13,380,264 = 13,380,264/x
  3. Step 3: Cross multiply
    6,133,123.50x = 13,380,264 × 13,380,264
  4. Step 4: Simplify right side
    6,133,123.50x = 179,031,464,709,696
  5. Step 5: Solve for x
    x = 179,031,464,709,696/6,133,123.50
  6. Step 6: Final answer
    x = 29,190,911.40

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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.