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Finding the Third Proportional to 9,662,198.06 and 21,060,509.63

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Solution

The third proportional to 9,662,198.06 and 21,060,509.63 is: 45,905,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,198.06 : 21,060,509.63 = 21,060,509.63 : x
  2. Step 2: Convert to fraction form
    9,662,198.06/21,060,509.63 = 21,060,509.63/x
  3. Step 3: Cross multiply
    9,662,198.06x = 21,060,509.63 × 21,060,509.63
  4. Step 4: Simplify right side
    9,662,198.06x = 443,545,065,664,717.62
  5. Step 5: Solve for x
    x = 443,545,065,664,717.62/9,662,198.06
  6. Step 6: Final answer
    x = 45,905,192.88

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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.