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Finding the Third Proportional to 12,807,634,654,811 and 19,511,545,471,852

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Solution

The third proportional to 12,807,634,654,811 and 19,511,545,471,852 is: 29,724,489,881,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807,634,654,811 : 19,511,545,471,852 = 19,511,545,471,852 : x
  2. Step 2: Convert to fraction form
    12,807,634,654,811/19,511,545,471,852 = 19,511,545,471,852/x
  3. Step 3: Cross multiply
    12,807,634,654,811x = 19,511,545,471,852 × 19,511,545,471,852
  4. Step 4: Simplify right side
    12,807,634,654,811x = 380,700,406,700,148,306,279,923,712
  5. Step 5: Solve for x
    x = 380,700,406,700,148,306,279,923,712/12,807,634,654,811
  6. Step 6: Final answer
    x = 29,724,489,881,286.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.