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Finding the Third Proportional to 40,293,613,521 and 86,247,522,102

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Solution

The third proportional to 40,293,613,521 and 86,247,522,102 is: 184,610,771,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293,613,521 : 86,247,522,102 = 86,247,522,102 : x
  2. Step 2: Convert to fraction form
    40,293,613,521/86,247,522,102 = 86,247,522,102/x
  3. Step 3: Cross multiply
    40,293,613,521x = 86,247,522,102 × 86,247,522,102
  4. Step 4: Simplify right side
    40,293,613,521x = 7,438,635,068,734,978,392,064
  5. Step 5: Solve for x
    x = 7,438,635,068,734,978,392,064/40,293,613,521
  6. Step 6: Final answer
    x = 184,610,771,254.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.