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Finding the Third Proportional to 638,439,797.25 and 962,226,243

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Solution

The third proportional to 638,439,797.25 and 962,226,243 is: 1,450,221,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,439,797.25 : 962,226,243 = 962,226,243 : x
  2. Step 2: Convert to fraction form
    638,439,797.25/962,226,243 = 962,226,243/x
  3. Step 3: Cross multiply
    638,439,797.25x = 962,226,243 × 962,226,243
  4. Step 4: Simplify right side
    638,439,797.25x = 925,879,342,717,895,040
  5. Step 5: Solve for x
    x = 925,879,342,717,895,040/638,439,797.25
  6. Step 6: Final answer
    x = 1,450,221,848.18

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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.