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Finding the Third Proportional to 52,902,618,576 and 114,220,894,080

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Solution

The third proportional to 52,902,618,576 and 114,220,894,080 is: 246,611,850,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,618,576 : 114,220,894,080 = 114,220,894,080 : x
  2. Step 2: Convert to fraction form
    52,902,618,576/114,220,894,080 = 114,220,894,080/x
  3. Step 3: Cross multiply
    52,902,618,576x = 114,220,894,080 × 114,220,894,080
  4. Step 4: Simplify right side
    52,902,618,576x = 13,046,412,644,434,579,554,304
  5. Step 5: Solve for x
    x = 13,046,412,644,434,579,554,304/52,902,618,576
  6. Step 6: Final answer
    x = 246,611,850,142.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.