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Finding the Third Proportional to 764,658,619 and 1,646,976,401

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Solution

The third proportional to 764,658,619 and 1,646,976,401 is: 3,547,375,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,658,619 : 1,646,976,401 = 1,646,976,401 : x
  2. Step 2: Convert to fraction form
    764,658,619/1,646,976,401 = 1,646,976,401/x
  3. Step 3: Cross multiply
    764,658,619x = 1,646,976,401 × 1,646,976,401
  4. Step 4: Simplify right side
    764,658,619x = 2,712,531,265,450,912,768
  5. Step 5: Solve for x
    x = 2,712,531,265,450,912,768/764,658,619
  6. Step 6: Final answer
    x = 3,547,375,519.02

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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.