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Finding the Third Proportional to 11,446,553,664 and 17,278,655,373

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Solution

The third proportional to 11,446,553,664 and 17,278,655,373 is: 26,082,254,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446,553,664 : 17,278,655,373 = 17,278,655,373 : x
  2. Step 2: Convert to fraction form
    11,446,553,664/17,278,655,373 = 17,278,655,373/x
  3. Step 3: Cross multiply
    11,446,553,664x = 17,278,655,373 × 17,278,655,373
  4. Step 4: Simplify right side
    11,446,553,664x = 298,551,931,498,901,798,912
  5. Step 5: Solve for x
    x = 298,551,931,498,901,798,912/11,446,553,664
  6. Step 6: Final answer
    x = 26,082,254,996.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.