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Finding the Third Proportional to 244,814,784 and 537,724,230

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Solution

The third proportional to 244,814,784 and 537,724,230 is: 1,181,086,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,814,784 : 537,724,230 = 537,724,230 : x
  2. Step 2: Convert to fraction form
    244,814,784/537,724,230 = 537,724,230/x
  3. Step 3: Cross multiply
    244,814,784x = 537,724,230 × 537,724,230
  4. Step 4: Simplify right side
    244,814,784x = 289,147,347,529,092,928
  5. Step 5: Solve for x
    x = 289,147,347,529,092,928/244,814,784
  6. Step 6: Final answer
    x = 1,181,086,137.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.