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Finding the Third Proportional to 444,155,676 and 962,442,120

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Solution

The third proportional to 444,155,676 and 962,442,120 is: 2,085,518,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,155,676 : 962,442,120 = 962,442,120 : x
  2. Step 2: Convert to fraction form
    444,155,676/962,442,120 = 962,442,120/x
  3. Step 3: Cross multiply
    444,155,676x = 962,442,120 × 962,442,120
  4. Step 4: Simplify right side
    444,155,676x = 926,294,834,350,094,336
  5. Step 5: Solve for x
    x = 926,294,834,350,094,336/444,155,676
  6. Step 6: Final answer
    x = 2,085,518,399.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.