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Finding the Third Proportional to 3,194,148,428,306 and 7,102,462,861,132

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Solution

The third proportional to 3,194,148,428,306 and 7,102,462,861,132 is: 15,792,935,057,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,148,428,306 : 7,102,462,861,132 = 7,102,462,861,132 : x
  2. Step 2: Convert to fraction form
    3,194,148,428,306/7,102,462,861,132 = 7,102,462,861,132/x
  3. Step 3: Cross multiply
    3,194,148,428,306x = 7,102,462,861,132 × 7,102,462,861,132
  4. Step 4: Simplify right side
    3,194,148,428,306x = 50,444,978,693,759,354,095,534,080
  5. Step 5: Solve for x
    x = 50,444,978,693,759,354,095,534,080/3,194,148,428,306
  6. Step 6: Final answer
    x = 15,792,935,057,971.80

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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.