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Finding the Third Proportional to 3,657,553.50 and 8,039,097

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Solution

The third proportional to 3,657,553.50 and 8,039,097 is: 17,669,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,553.50 : 8,039,097 = 8,039,097 : x
  2. Step 2: Convert to fraction form
    3,657,553.50/8,039,097 = 8,039,097/x
  3. Step 3: Cross multiply
    3,657,553.50x = 8,039,097 × 8,039,097
  4. Step 4: Simplify right side
    3,657,553.50x = 64,627,080,575,409
  5. Step 5: Solve for x
    x = 64,627,080,575,409/3,657,553.50
  6. Step 6: Final answer
    x = 17,669,483.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.