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Finding the Third Proportional to 7,985,867.10 and 17,370,940.01

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Solution

The third proportional to 7,985,867.10 and 17,370,940.01 is: 37,785,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985,867.10 : 17,370,940.01 = 17,370,940.01 : x
  2. Step 2: Convert to fraction form
    7,985,867.10/17,370,940.01 = 17,370,940.01/x
  3. Step 3: Cross multiply
    7,985,867.10x = 17,370,940.01 × 17,370,940.01
  4. Step 4: Simplify right side
    7,985,867.10x = 301,749,556,755,003.62
  5. Step 5: Solve for x
    x = 301,749,556,755,003.62/7,985,867.10
  6. Step 6: Final answer
    x = 37,785,446.85

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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.