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Finding the Third Proportional to 11,695,463,857 and 25,534,097,047

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Solution

The third proportional to 11,695,463,857 and 25,534,097,047 is: 55,747,264,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695,463,857 : 25,534,097,047 = 25,534,097,047 : x
  2. Step 2: Convert to fraction form
    11,695,463,857/25,534,097,047 = 25,534,097,047/x
  3. Step 3: Cross multiply
    11,695,463,857x = 25,534,097,047 × 25,534,097,047
  4. Step 4: Simplify right side
    11,695,463,857x = 651,990,112,005,614,075,904
  5. Step 5: Solve for x
    x = 651,990,112,005,614,075,904/11,695,463,857
  6. Step 6: Final answer
    x = 55,747,264,065.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.