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Finding the Third Proportional to 2,040,745,124,163 and 4,476,589,016,332

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Solution

The third proportional to 2,040,745,124,163 and 4,476,589,016,332 is: 9,819,868,725,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,745,124,163 : 4,476,589,016,332 = 4,476,589,016,332 : x
  2. Step 2: Convert to fraction form
    2,040,745,124,163/4,476,589,016,332 = 4,476,589,016,332/x
  3. Step 3: Cross multiply
    2,040,745,124,163x = 4,476,589,016,332 × 4,476,589,016,332
  4. Step 4: Simplify right side
    2,040,745,124,163x = 20,039,849,221,144,302,841,757,696
  5. Step 5: Solve for x
    x = 20,039,849,221,144,302,841,757,696/2,040,745,124,163
  6. Step 6: Final answer
    x = 9,819,868,725,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.