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Finding the Third Proportional to 5,858,392,900 and 8,842,069,161

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Solution

The third proportional to 5,858,392,900 and 8,842,069,161 is: 13,345,330,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858,392,900 : 8,842,069,161 = 8,842,069,161 : x
  2. Step 2: Convert to fraction form
    5,858,392,900/8,842,069,161 = 8,842,069,161/x
  3. Step 3: Cross multiply
    5,858,392,900x = 8,842,069,161 × 8,842,069,161
  4. Step 4: Simplify right side
    5,858,392,900x = 78,182,187,047,907,246,080
  5. Step 5: Solve for x
    x = 78,182,187,047,907,246,080/5,858,392,900
  6. Step 6: Final answer
    x = 13,345,330,090.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.