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Finding the Third Proportional to 55,950,457,536 and 114,148,440,000

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Solution

The third proportional to 55,950,457,536 and 114,148,440,000 is: 232,882,212,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,950,457,536 : 114,148,440,000 = 114,148,440,000 : x
  2. Step 2: Convert to fraction form
    55,950,457,536/114,148,440,000 = 114,148,440,000/x
  3. Step 3: Cross multiply
    55,950,457,536x = 114,148,440,000 × 114,148,440,000
  4. Step 4: Simplify right side
    55,950,457,536x = 13,029,866,354,433,599,733,760
  5. Step 5: Solve for x
    x = 13,029,866,354,433,599,733,760/55,950,457,536
  6. Step 6: Final answer
    x = 232,882,212,733.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.