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Finding the Third Proportional to 11,038,858,179 and 24,075,633,512

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Solution

The third proportional to 11,038,858,179 and 24,075,633,512 is: 52,508,703,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,858,179 : 24,075,633,512 = 24,075,633,512 : x
  2. Step 2: Convert to fraction form
    11,038,858,179/24,075,633,512 = 24,075,633,512/x
  3. Step 3: Cross multiply
    11,038,858,179x = 24,075,633,512 × 24,075,633,512
  4. Step 4: Simplify right side
    11,038,858,179x = 579,636,129,004,137,480,192
  5. Step 5: Solve for x
    x = 579,636,129,004,137,480,192/11,038,858,179
  6. Step 6: Final answer
    x = 52,508,703,310.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.