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Finding the Third Proportional to 126,226,902,163.50 and 277,698,877,497

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Solution

The third proportional to 126,226,902,163.50 and 277,698,877,497 is: 610,936,854,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,226,902,163.50 : 277,698,877,497 = 277,698,877,497 : x
  2. Step 2: Convert to fraction form
    126,226,902,163.50/277,698,877,497 = 277,698,877,497/x
  3. Step 3: Cross multiply
    126,226,902,163.50x = 277,698,877,497 × 277,698,877,497
  4. Step 4: Simplify right side
    126,226,902,163.50x = 77,116,666,563,093,820,604,416
  5. Step 5: Solve for x
    x = 77,116,666,563,093,820,604,416/126,226,902,163.50
  6. Step 6: Final answer
    x = 610,936,854,516.21

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