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Finding the Third Proportional to 9,598,294.13 and 13,581,292.50

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Solution

The third proportional to 9,598,294.13 and 13,581,292.50 is: 19,217,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598,294.13 : 13,581,292.50 = 13,581,292.50 : x
  2. Step 2: Convert to fraction form
    9,598,294.13/13,581,292.50 = 13,581,292.50/x
  3. Step 3: Cross multiply
    9,598,294.13x = 13,581,292.50 × 13,581,292.50
  4. Step 4: Simplify right side
    9,598,294.13x = 184,451,505,970,556.25
  5. Step 5: Solve for x
    x = 184,451,505,970,556.25/9,598,294.13
  6. Step 6: Final answer
    x = 19,217,113.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.