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Finding the Third Proportional to 21,635,813,945 and 46,996,111,467

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Solution

The third proportional to 21,635,813,945 and 46,996,111,467 is: 102,082,338,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635,813,945 : 46,996,111,467 = 46,996,111,467 : x
  2. Step 2: Convert to fraction form
    21,635,813,945/46,996,111,467 = 46,996,111,467/x
  3. Step 3: Cross multiply
    21,635,813,945x = 46,996,111,467 × 46,996,111,467
  4. Step 4: Simplify right side
    21,635,813,945x = 2,208,634,493,018,688,978,944
  5. Step 5: Solve for x
    x = 2,208,634,493,018,688,978,944/21,635,813,945
  6. Step 6: Final answer
    x = 102,082,338,969.69

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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.