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Finding the Third Proportional to 27,991,510,024 and 61,688,581,256

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Solution

The third proportional to 27,991,510,024 and 61,688,581,256 is: 135,951,260,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991,510,024 : 61,688,581,256 = 61,688,581,256 : x
  2. Step 2: Convert to fraction form
    27,991,510,024/61,688,581,256 = 61,688,581,256/x
  3. Step 3: Cross multiply
    27,991,510,024x = 61,688,581,256 × 61,688,581,256
  4. Step 4: Simplify right side
    27,991,510,024x = 3,805,481,057,378,114,732,032
  5. Step 5: Solve for x
    x = 3,805,481,057,378,114,732,032/27,991,510,024
  6. Step 6: Final answer
    x = 135,951,260,011.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.