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Finding the Third Proportional to 12,440,671,111 and 27,417,147,207

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Solution

The third proportional to 12,440,671,111 and 27,417,147,207 is: 60,422,782,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,671,111 : 27,417,147,207 = 27,417,147,207 : x
  2. Step 2: Convert to fraction form
    12,440,671,111/27,417,147,207 = 27,417,147,207/x
  3. Step 3: Cross multiply
    12,440,671,111x = 27,417,147,207 × 27,417,147,207
  4. Step 4: Simplify right side
    12,440,671,111x = 751,699,960,970,307,960,832
  5. Step 5: Solve for x
    x = 751,699,960,970,307,960,832/12,440,671,111
  6. Step 6: Final answer
    x = 60,422,782,200.69

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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.