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Finding the Third Proportional to 508,729,086 and 1,101,972,762

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Solution

The third proportional to 508,729,086 and 1,101,972,762 is: 2,387,015,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,729,086 : 1,101,972,762 = 1,101,972,762 : x
  2. Step 2: Convert to fraction form
    508,729,086/1,101,972,762 = 1,101,972,762/x
  3. Step 3: Cross multiply
    508,729,086x = 1,101,972,762 × 1,101,972,762
  4. Step 4: Simplify right side
    508,729,086x = 1,214,343,968,189,908,736
  5. Step 5: Solve for x
    x = 1,214,343,968,189,908,736/508,729,086
  6. Step 6: Final answer
    x = 2,387,015,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.