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Finding the Third Proportional to 40,293,613,490 and 86,247,522,037

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Solution

The third proportional to 40,293,613,490 and 86,247,522,037 is: 184,610,771,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293,613,490 : 86,247,522,037 = 86,247,522,037 : x
  2. Step 2: Convert to fraction form
    40,293,613,490/86,247,522,037 = 86,247,522,037/x
  3. Step 3: Cross multiply
    40,293,613,490x = 86,247,522,037 × 86,247,522,037
  4. Step 4: Simplify right side
    40,293,613,490x = 7,438,635,057,522,800,590,848
  5. Step 5: Solve for x
    x = 7,438,635,057,522,800,590,848/40,293,613,490
  6. Step 6: Final answer
    x = 184,610,771,118.08

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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.