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Finding the Third Proportional to 11,240,351,199,348 and 15,165,873,008,076

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Solution

The third proportional to 11,240,351,199,348 and 15,165,873,008,076 is: 20,462,323,642,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240,351,199,348 : 15,165,873,008,076 = 15,165,873,008,076 : x
  2. Step 2: Convert to fraction form
    11,240,351,199,348/15,165,873,008,076 = 15,165,873,008,076/x
  3. Step 3: Cross multiply
    11,240,351,199,348x = 15,165,873,008,076 × 15,165,873,008,076
  4. Step 4: Simplify right side
    11,240,351,199,348x = 230,003,704,097,088,197,084,839,936
  5. Step 5: Solve for x
    x = 230,003,704,097,088,197,084,839,936/11,240,351,199,348
  6. Step 6: Final answer
    x = 20,462,323,642,559.29

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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.