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Finding the Third Proportional to 17,020,588,512 and 37,247,482,798

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Solution

The third proportional to 17,020,588,512 and 37,247,482,798 is: 81,511,574,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020,588,512 : 37,247,482,798 = 37,247,482,798 : x
  2. Step 2: Convert to fraction form
    17,020,588,512/37,247,482,798 = 37,247,482,798/x
  3. Step 3: Cross multiply
    17,020,588,512x = 37,247,482,798 × 37,247,482,798
  4. Step 4: Simplify right side
    17,020,588,512x = 1,387,374,974,787,305,865,216
  5. Step 5: Solve for x
    x = 1,387,374,974,787,305,865,216/17,020,588,512
  6. Step 6: Final answer
    x = 81,511,574,867.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.