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Finding the Third Proportional to 11,240,351,199,352 and 15,165,873,008,082

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Solution

The third proportional to 11,240,351,199,352 and 15,165,873,008,082 is: 20,462,323,642,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240,351,199,352 : 15,165,873,008,082 = 15,165,873,008,082 : x
  2. Step 2: Convert to fraction form
    11,240,351,199,352/15,165,873,008,082 = 15,165,873,008,082/x
  3. Step 3: Cross multiply
    11,240,351,199,352x = 15,165,873,008,082 × 15,165,873,008,082
  4. Step 4: Simplify right side
    11,240,351,199,352x = 230,003,704,097,270,166,259,236,864
  5. Step 5: Solve for x
    x = 230,003,704,097,270,166,259,236,864/11,240,351,199,352
  6. Step 6: Final answer
    x = 20,462,323,642,568.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.