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Finding the Third Proportional to 2,693,646,703,526 and 5,861,483,855,872

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Solution

The third proportional to 2,693,646,703,526 and 5,861,483,855,872 is: 12,754,825,251,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,646,703,526 : 5,861,483,855,872 = 5,861,483,855,872 : x
  2. Step 2: Convert to fraction form
    2,693,646,703,526/5,861,483,855,872 = 5,861,483,855,872/x
  3. Step 3: Cross multiply
    2,693,646,703,526x = 5,861,483,855,872 × 5,861,483,855,872
  4. Step 4: Simplify right side
    2,693,646,703,526x = 34,356,992,992,648,088,600,444,928
  5. Step 5: Solve for x
    x = 34,356,992,992,648,088,600,444,928/2,693,646,703,526
  6. Step 6: Final answer
    x = 12,754,825,251,460.99

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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.