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Finding the Third Proportional to 9,149,059.13 and 19,241,635.50

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Solution

The third proportional to 9,149,059.13 and 19,241,635.50 is: 40,467,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,059.13 : 19,241,635.50 = 19,241,635.50 : x
  2. Step 2: Convert to fraction form
    9,149,059.13/19,241,635.50 = 19,241,635.50/x
  3. Step 3: Cross multiply
    9,149,059.13x = 19,241,635.50 × 19,241,635.50
  4. Step 4: Simplify right side
    9,149,059.13x = 370,240,536,714,860.25
  5. Step 5: Solve for x
    x = 370,240,536,714,860.25/9,149,059.13
  6. Step 6: Final answer
    x = 40,467,607.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.