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Finding the Third Proportional to 12,440,671,232 and 27,417,147,459

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Solution

The third proportional to 12,440,671,232 and 27,417,147,459 is: 60,422,782,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,671,232 : 27,417,147,459 = 27,417,147,459 : x
  2. Step 2: Convert to fraction form
    12,440,671,232/27,417,147,459 = 27,417,147,459/x
  3. Step 3: Cross multiply
    12,440,671,232x = 27,417,147,459 × 27,417,147,459
  4. Step 4: Simplify right side
    12,440,671,232x = 751,699,974,788,550,098,944
  5. Step 5: Solve for x
    x = 751,699,974,788,550,098,944/12,440,671,232
  6. Step 6: Final answer
    x = 60,422,782,723.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.