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Finding the Third Proportional to 55,932,040,074 and 119,842,072,437

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Solution

The third proportional to 55,932,040,074 and 119,842,072,437 is: 256,778,088,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,932,040,074 : 119,842,072,437 = 119,842,072,437 : x
  2. Step 2: Convert to fraction form
    55,932,040,074/119,842,072,437 = 119,842,072,437/x
  3. Step 3: Cross multiply
    55,932,040,074x = 119,842,072,437 × 119,842,072,437
  4. Step 4: Simplify right side
    55,932,040,074x = 14,362,122,325,995,154,309,120
  5. Step 5: Solve for x
    x = 14,362,122,325,995,154,309,120/55,932,040,074
  6. Step 6: Final answer
    x = 256,778,088,319.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.