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Finding the Third Proportional to 4,464,686.46 and 9,780,668.37

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Solution

The third proportional to 4,464,686.46 and 9,780,668.37 is: 21,426,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,686.46 : 9,780,668.37 = 9,780,668.37 : x
  2. Step 2: Convert to fraction form
    4,464,686.46/9,780,668.37 = 9,780,668.37/x
  3. Step 3: Cross multiply
    4,464,686.46x = 9,780,668.37 × 9,780,668.37
  4. Step 4: Simplify right side
    4,464,686.46x = 95,661,473,708,902.20
  5. Step 5: Solve for x
    x = 95,661,473,708,902.20/4,464,686.46
  6. Step 6: Final answer
    x = 21,426,246.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.