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Finding the Third Proportional to 5,620,175,599,408 and 7,582,936,503,661

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Solution

The third proportional to 5,620,175,599,408 and 7,582,936,503,661 is: 10,231,161,820,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620,175,599,408 : 7,582,936,503,661 = 7,582,936,503,661 : x
  2. Step 2: Convert to fraction form
    5,620,175,599,408/7,582,936,503,661 = 7,582,936,503,661/x
  3. Step 3: Cross multiply
    5,620,175,599,408x = 7,582,936,503,661 × 7,582,936,503,661
  4. Step 4: Simplify right side
    5,620,175,599,408x = 57,500,926,018,554,511,497,363,456
  5. Step 5: Solve for x
    x = 57,500,926,018,554,511,497,363,456/5,620,175,599,408
  6. Step 6: Final answer
    x = 10,231,161,820,746.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.