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Finding the Third Proportional to 8,996,215 and 19,589,749

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Solution

The third proportional to 8,996,215 and 19,589,749 is: 42,657,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996,215 : 19,589,749 = 19,589,749 : x
  2. Step 2: Convert to fraction form
    8,996,215/19,589,749 = 19,589,749/x
  3. Step 3: Cross multiply
    8,996,215x = 19,589,749 × 19,589,749
  4. Step 4: Simplify right side
    8,996,215x = 383,758,265,883,001
  5. Step 5: Solve for x
    x = 383,758,265,883,001/8,996,215
  6. Step 6: Final answer
    x = 42,657,747.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.