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Finding the Third Proportional to 6,398,849.81 and 9,054,176.63

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Solution

The third proportional to 6,398,849.81 and 9,054,176.63 is: 12,811,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,849.81 : 9,054,176.63 = 9,054,176.63 : x
  2. Step 2: Convert to fraction form
    6,398,849.81/9,054,176.63 = 9,054,176.63/x
  3. Step 3: Cross multiply
    6,398,849.81x = 9,054,176.63 × 9,054,176.63
  4. Step 4: Simplify right side
    6,398,849.81x = 81,978,114,356,696.39
  5. Step 5: Solve for x
    x = 81,978,114,356,696.39/6,398,849.81
  6. Step 6: Final answer
    x = 12,811,382.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.