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Finding the Third Proportional to 9,656,172 and 14,582,673

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Solution

The third proportional to 9,656,172 and 14,582,673 is: 22,022,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,172 : 14,582,673 = 14,582,673 : x
  2. Step 2: Convert to fraction form
    9,656,172/14,582,673 = 14,582,673/x
  3. Step 3: Cross multiply
    9,656,172x = 14,582,673 × 14,582,673
  4. Step 4: Simplify right side
    9,656,172x = 212,654,351,824,929
  5. Step 5: Solve for x
    x = 212,654,351,824,929/9,656,172
  6. Step 6: Final answer
    x = 22,022,635.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.