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Finding the Third Proportional to 1,039,877,135,482 and 2,264,363,144,372

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Solution

The third proportional to 1,039,877,135,482 and 2,264,363,144,372 is: 4,930,717,557,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,877,135,482 : 2,264,363,144,372 = 2,264,363,144,372 : x
  2. Step 2: Convert to fraction form
    1,039,877,135,482/2,264,363,144,372 = 2,264,363,144,372/x
  3. Step 3: Cross multiply
    1,039,877,135,482x = 2,264,363,144,372 × 2,264,363,144,372
  4. Step 4: Simplify right side
    1,039,877,135,482x = 5,127,340,449,590,251,326,799,872
  5. Step 5: Solve for x
    x = 5,127,340,449,590,251,326,799,872/1,039,877,135,482
  6. Step 6: Final answer
    x = 4,930,717,557,525.34

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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.