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Finding the Third Proportional to 25,002,324,450,808 and 54,159,261,483,020

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Solution

The third proportional to 25,002,324,450,808 and 54,159,261,483,020 is: 117,318,116,167,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002,324,450,808 : 54,159,261,483,020 = 54,159,261,483,020 : x
  2. Step 2: Convert to fraction form
    25,002,324,450,808/54,159,261,483,020 = 54,159,261,483,020/x
  3. Step 3: Cross multiply
    25,002,324,450,808x = 54,159,261,483,020 × 54,159,261,483,020
  4. Step 4: Simplify right side
    25,002,324,450,808x = 2,933,225,604,386,133,858,513,321,984
  5. Step 5: Solve for x
    x = 2,933,225,604,386,133,858,513,321,984/25,002,324,450,808
  6. Step 6: Final answer
    x = 117,318,116,167,848.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.