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Finding the Third Proportional to 3,680,418,519 and 7,922,038,734

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Solution

The third proportional to 3,680,418,519 and 7,922,038,734 is: 17,052,054,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,418,519 : 7,922,038,734 = 7,922,038,734 : x
  2. Step 2: Convert to fraction form
    3,680,418,519/7,922,038,734 = 7,922,038,734/x
  3. Step 3: Cross multiply
    3,680,418,519x = 7,922,038,734 × 7,922,038,734
  4. Step 4: Simplify right side
    3,680,418,519x = 62,758,697,702,996,320,256
  5. Step 5: Solve for x
    x = 62,758,697,702,996,320,256/3,680,418,519
  6. Step 6: Final answer
    x = 17,052,054,645.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.