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Finding the Third Proportional to 17,909,811.75 and 38,373,809.25

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Solution

The third proportional to 17,909,811.75 and 38,373,809.25 is: 82,220,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909,811.75 : 38,373,809.25 = 38,373,809.25 : x
  2. Step 2: Convert to fraction form
    17,909,811.75/38,373,809.25 = 38,373,809.25/x
  3. Step 3: Cross multiply
    17,909,811.75x = 38,373,809.25 × 38,373,809.25
  4. Step 4: Simplify right side
    17,909,811.75x = 1,472,549,236,355,385.50
  5. Step 5: Solve for x
    x = 1,472,549,236,355,385.50/17,909,811.75
  6. Step 6: Final answer
    x = 82,220,252.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.