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Finding the Third Proportional to 9,003,663 and 13,962,510

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Solution

The third proportional to 9,003,663 and 13,962,510 is: 21,652,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003,663 : 13,962,510 = 13,962,510 : x
  2. Step 2: Convert to fraction form
    9,003,663/13,962,510 = 13,962,510/x
  3. Step 3: Cross multiply
    9,003,663x = 13,962,510 × 13,962,510
  4. Step 4: Simplify right side
    9,003,663x = 194,951,685,500,100
  5. Step 5: Solve for x
    x = 194,951,685,500,100/9,003,663
  6. Step 6: Final answer
    x = 21,652,485.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.