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Finding the Third Proportional to 12,906,191,753 and 27,773,699,461

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Solution

The third proportional to 12,906,191,753 and 27,773,699,461 is: 59,768,086,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906,191,753 : 27,773,699,461 = 27,773,699,461 : x
  2. Step 2: Convert to fraction form
    12,906,191,753/27,773,699,461 = 27,773,699,461/x
  3. Step 3: Cross multiply
    12,906,191,753x = 27,773,699,461 × 27,773,699,461
  4. Step 4: Simplify right side
    12,906,191,753x = 771,378,381,749,951,660,032
  5. Step 5: Solve for x
    x = 771,378,381,749,951,660,032/12,906,191,753
  6. Step 6: Final answer
    x = 59,768,086,242.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.