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Finding the Third Proportional to 4,292,623.50 and 9,097,005

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Solution

The third proportional to 4,292,623.50 and 9,097,005 is: 19,278,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292,623.50 : 9,097,005 = 9,097,005 : x
  2. Step 2: Convert to fraction form
    4,292,623.50/9,097,005 = 9,097,005/x
  3. Step 3: Cross multiply
    4,292,623.50x = 9,097,005 × 9,097,005
  4. Step 4: Simplify right side
    4,292,623.50x = 82,755,499,970,025
  5. Step 5: Solve for x
    x = 82,755,499,970,025/4,292,623.50
  6. Step 6: Final answer
    x = 19,278,536.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.