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Finding the Third Proportional to 6,414,553.69 and 13,283,841.80

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Solution

The third proportional to 6,414,553.69 and 13,283,841.80 is: 27,509,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,553.69 : 13,283,841.80 = 13,283,841.80 : x
  2. Step 2: Convert to fraction form
    6,414,553.69/13,283,841.80 = 13,283,841.80/x
  3. Step 3: Cross multiply
    6,414,553.69x = 13,283,841.80 × 13,283,841.80
  4. Step 4: Simplify right side
    6,414,553.69x = 176,460,452,884,403.22
  5. Step 5: Solve for x
    x = 176,460,452,884,403.22/6,414,553.69
  6. Step 6: Final answer
    x = 27,509,389.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.