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Finding the Third Proportional to 227,955,903 and 537,583,362

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Solution

The third proportional to 227,955,903 and 537,583,362 is: 1,267,770,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,955,903 : 537,583,362 = 537,583,362 : x
  2. Step 2: Convert to fraction form
    227,955,903/537,583,362 = 537,583,362/x
  3. Step 3: Cross multiply
    227,955,903x = 537,583,362 × 537,583,362
  4. Step 4: Simplify right side
    227,955,903x = 288,995,871,099,223,040
  5. Step 5: Solve for x
    x = 288,995,871,099,223,040/227,955,903
  6. Step 6: Final answer
    x = 1,267,770,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.