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Finding the Third Proportional to 11,595,210,379,794 and 25,226,193,607,508

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Solution

The third proportional to 11,595,210,379,794 and 25,226,193,607,508 is: 54,881,353,859,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595,210,379,794 : 25,226,193,607,508 = 25,226,193,607,508 : x
  2. Step 2: Convert to fraction form
    11,595,210,379,794/25,226,193,607,508 = 25,226,193,607,508/x
  3. Step 3: Cross multiply
    11,595,210,379,794x = 25,226,193,607,508 × 25,226,193,607,508
  4. Step 4: Simplify right side
    11,595,210,379,794x = 636,360,843,923,477,525,822,439,424
  5. Step 5: Solve for x
    x = 636,360,843,923,477,525,822,439,424/11,595,210,379,794
  6. Step 6: Final answer
    x = 54,881,353,859,039.09

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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.