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Finding the Third Proportional to 11,038,858,174.50 and 24,075,633,504

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Solution

The third proportional to 11,038,858,174.50 and 24,075,633,504 is: 52,508,703,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,858,174.50 : 24,075,633,504 = 24,075,633,504 : x
  2. Step 2: Convert to fraction form
    11,038,858,174.50/24,075,633,504 = 24,075,633,504/x
  3. Step 3: Cross multiply
    11,038,858,174.50x = 24,075,633,504 × 24,075,633,504
  4. Step 4: Simplify right side
    11,038,858,174.50x = 579,636,128,618,927,292,416
  5. Step 5: Solve for x
    x = 579,636,128,618,927,292,416/11,038,858,174.50
  6. Step 6: Final answer
    x = 52,508,703,296.68

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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.