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Finding the Third Proportional to 1,581,613,830 and 3,401,255,102.06

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Solution

The third proportional to 1,581,613,830 and 3,401,255,102.06 is: 7,314,387,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,613,830 : 3,401,255,102.06 = 3,401,255,102.06 : x
  2. Step 2: Convert to fraction form
    1,581,613,830/3,401,255,102.06 = 3,401,255,102.06/x
  3. Step 3: Cross multiply
    1,581,613,830x = 3,401,255,102.06 × 3,401,255,102.06
  4. Step 4: Simplify right side
    1,581,613,830x = 11,568,536,269,306,187,776
  5. Step 5: Solve for x
    x = 11,568,536,269,306,187,776/1,581,613,830
  6. Step 6: Final answer
    x = 7,314,387,399.68

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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.