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Finding the Third Proportional to 55,932,039,744 and 119,842,071,774

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Solution

The third proportional to 55,932,039,744 and 119,842,071,774 is: 256,778,086,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,932,039,744 : 119,842,071,774 = 119,842,071,774 : x
  2. Step 2: Convert to fraction form
    55,932,039,744/119,842,071,774 = 119,842,071,774/x
  3. Step 3: Cross multiply
    55,932,039,744x = 119,842,071,774 × 119,842,071,774
  4. Step 4: Simplify right side
    55,932,039,744x = 14,362,122,167,084,566,708,224
  5. Step 5: Solve for x
    x = 14,362,122,167,084,566,708,224/55,932,039,744
  6. Step 6: Final answer
    x = 256,778,086,993.07

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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.