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Finding the Third Proportional to 47,589,090 and 64,208,857

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Solution

The third proportional to 47,589,090 and 64,208,857 is: 86,632,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589,090 : 64,208,857 = 64,208,857 : x
  2. Step 2: Convert to fraction form
    47,589,090/64,208,857 = 64,208,857/x
  3. Step 3: Cross multiply
    47,589,090x = 64,208,857 × 64,208,857
  4. Step 4: Simplify right side
    47,589,090x = 4,122,777,317,246,449
  5. Step 5: Solve for x
    x = 4,122,777,317,246,449/47,589,090
  6. Step 6: Final answer
    x = 86,632,825.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.