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Finding the Third Proportional to 13,705,407.50 and 30,474,468

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Solution

The third proportional to 13,705,407.50 and 30,474,468 is: 67,761,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,407.50 : 30,474,468 = 30,474,468 : x
  2. Step 2: Convert to fraction form
    13,705,407.50/30,474,468 = 30,474,468/x
  3. Step 3: Cross multiply
    13,705,407.50x = 30,474,468 × 30,474,468
  4. Step 4: Simplify right side
    13,705,407.50x = 928,693,199,883,024
  5. Step 5: Solve for x
    x = 928,693,199,883,024/13,705,407.50
  6. Step 6: Final answer
    x = 67,761,078.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.