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Finding the Third Proportional to 40,239,559,584,036 and 87,529,506,383,304

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Solution

The third proportional to 40,239,559,584,036 and 87,529,506,383,304 is: 190,395,087,990,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,239,559,584,036 : 87,529,506,383,304 = 87,529,506,383,304 : x
  2. Step 2: Convert to fraction form
    40,239,559,584,036/87,529,506,383,304 = 87,529,506,383,304/x
  3. Step 3: Cross multiply
    40,239,559,584,036x = 87,529,506,383,304 × 87,529,506,383,304
  4. Step 4: Simplify right side
    40,239,559,584,036x = 7,661,414,487,704,855,138,107,654,144
  5. Step 5: Solve for x
    x = 7,661,414,487,704,855,138,107,654,144/40,239,559,584,036
  6. Step 6: Final answer
    x = 190,395,087,990,583.34

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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.