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Finding the Third Proportional to 3,194,148,428,294 and 7,102,462,861,108

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Solution

The third proportional to 3,194,148,428,294 and 7,102,462,861,108 is: 15,792,935,057,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,148,428,294 : 7,102,462,861,108 = 7,102,462,861,108 : x
  2. Step 2: Convert to fraction form
    3,194,148,428,294/7,102,462,861,108 = 7,102,462,861,108/x
  3. Step 3: Cross multiply
    3,194,148,428,294x = 7,102,462,861,108 × 7,102,462,861,108
  4. Step 4: Simplify right side
    3,194,148,428,294x = 50,444,978,693,418,436,771,446,784
  5. Step 5: Solve for x
    x = 50,444,978,693,418,436,771,446,784/3,194,148,428,294
  6. Step 6: Final answer
    x = 15,792,935,057,924.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.