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Finding the Third Proportional to 2,693,646,703,449 and 5,861,483,855,730

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Solution

The third proportional to 2,693,646,703,449 and 5,861,483,855,730 is: 12,754,825,251,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,646,703,449 : 5,861,483,855,730 = 5,861,483,855,730 : x
  2. Step 2: Convert to fraction form
    2,693,646,703,449/5,861,483,855,730 = 5,861,483,855,730/x
  3. Step 3: Cross multiply
    2,693,646,703,449x = 5,861,483,855,730 × 5,861,483,855,730
  4. Step 4: Simplify right side
    2,693,646,703,449x = 34,356,992,990,983,427,995,992,064
  5. Step 5: Solve for x
    x = 34,356,992,990,983,427,995,992,064/2,693,646,703,449
  6. Step 6: Final answer
    x = 12,754,825,251,207.61

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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.