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Finding the Third Proportional to 227,955,839.63 and 537,583,204.69

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Solution

The third proportional to 227,955,839.63 and 537,583,204.69 is: 1,267,770,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,955,839.63 : 537,583,204.69 = 537,583,204.69 : x
  2. Step 2: Convert to fraction form
    227,955,839.63/537,583,204.69 = 537,583,204.69/x
  3. Step 3: Cross multiply
    227,955,839.63x = 537,583,204.69 × 537,583,204.69
  4. Step 4: Simplify right side
    227,955,839.63x = 288,995,701,962,082,496
  5. Step 5: Solve for x
    x = 288,995,701,962,082,496/227,955,839.63
  6. Step 6: Final answer
    x = 1,267,770,557.83

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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.