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Finding the Third Proportional to 6,288,618.94 and 9,527,246.16

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Solution

The third proportional to 6,288,618.94 and 9,527,246.16 is: 14,433,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288,618.94 : 9,527,246.16 = 9,527,246.16 : x
  2. Step 2: Convert to fraction form
    6,288,618.94/9,527,246.16 = 9,527,246.16/x
  3. Step 3: Cross multiply
    6,288,618.94x = 9,527,246.16 × 9,527,246.16
  4. Step 4: Simplify right side
    6,288,618.94x = 90,768,419,321,780.41
  5. Step 5: Solve for x
    x = 90,768,419,321,780.41/6,288,618.94
  6. Step 6: Final answer
    x = 14,433,760.45

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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.