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Finding the Third Proportional to 2,305,879,347,765.60 and 4,802,614,972,807.20

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Solution

The third proportional to 2,305,879,347,765.60 and 4,802,614,972,807.20 is: 10,002,739,561,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,879,347,765.60 : 4,802,614,972,807.20 = 4,802,614,972,807.20 : x
  2. Step 2: Convert to fraction form
    2,305,879,347,765.60/4,802,614,972,807.20 = 4,802,614,972,807.20/x
  3. Step 3: Cross multiply
    2,305,879,347,765.60x = 4,802,614,972,807.20 × 4,802,614,972,807.20
  4. Step 4: Simplify right side
    2,305,879,347,765.60x = 23,065,110,577,031,906,003,517,440
  5. Step 5: Solve for x
    x = 23,065,110,577,031,906,003,517,440/2,305,879,347,765.60
  6. Step 6: Final answer
    x = 10,002,739,561,973.19

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.