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Finding the Third Proportional to 10,059,889,896,009 and 21,882,376,595,826

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Solution

The third proportional to 10,059,889,896,009 and 21,882,376,595,826 is: 47,598,771,997,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059,889,896,009 : 21,882,376,595,826 = 21,882,376,595,826 : x
  2. Step 2: Convert to fraction form
    10,059,889,896,009/21,882,376,595,826 = 21,882,376,595,826/x
  3. Step 3: Cross multiply
    10,059,889,896,009x = 21,882,376,595,826 × 21,882,376,595,826
  4. Step 4: Simplify right side
    10,059,889,896,009x = 478,838,405,481,553,446,131,728,384
  5. Step 5: Solve for x
    x = 478,838,405,481,553,446,131,728,384/10,059,889,896,009
  6. Step 6: Final answer
    x = 47,598,771,997,645.84

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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.