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Finding the Third Proportional to 4,537,546,048 and 9,849,503,936

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Solution

The third proportional to 4,537,546,048 and 9,849,503,936 is: 21,379,998,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537,546,048 : 9,849,503,936 = 9,849,503,936 : x
  2. Step 2: Convert to fraction form
    4,537,546,048/9,849,503,936 = 9,849,503,936/x
  3. Step 3: Cross multiply
    4,537,546,048x = 9,849,503,936 × 9,849,503,936
  4. Step 4: Simplify right side
    4,537,546,048x = 97,012,727,785,279,488,000
  5. Step 5: Solve for x
    x = 97,012,727,785,279,488,000/4,537,546,048
  6. Step 6: Final answer
    x = 21,379,998,518.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.