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Finding the Third Proportional to 227,955,842 and 537,583,209

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Solution

The third proportional to 227,955,842 and 537,583,209 is: 1,267,770,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,955,842 : 537,583,209 = 537,583,209 : x
  2. Step 2: Convert to fraction form
    227,955,842/537,583,209 = 537,583,209/x
  3. Step 3: Cross multiply
    227,955,842x = 537,583,209 × 537,583,209
  4. Step 4: Simplify right side
    227,955,842x = 288,995,706,598,737,664
  5. Step 5: Solve for x
    x = 288,995,706,598,737,664/227,955,842
  6. Step 6: Final answer
    x = 1,267,770,564.96

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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.