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Finding the Third Proportional to 13,909,960 and 21,277,998.50

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Solution

The third proportional to 13,909,960 and 21,277,998.50 is: 32,548,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,960 : 21,277,998.50 = 21,277,998.50 : x
  2. Step 2: Convert to fraction form
    13,909,960/21,277,998.50 = 21,277,998.50/x
  3. Step 3: Cross multiply
    13,909,960x = 21,277,998.50 × 21,277,998.50
  4. Step 4: Simplify right side
    13,909,960x = 452,753,220,166,002.25
  5. Step 5: Solve for x
    x = 452,753,220,166,002.25/13,909,960
  6. Step 6: Final answer
    x = 32,548,851.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.