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Finding the Third Proportional to 9,473,744,275,696 and 20,763,667,403,244

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Solution

The third proportional to 9,473,744,275,696 and 20,763,667,403,244 is: 45,507,865,896,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473,744,275,696 : 20,763,667,403,244 = 20,763,667,403,244 : x
  2. Step 2: Convert to fraction form
    9,473,744,275,696/20,763,667,403,244 = 20,763,667,403,244/x
  3. Step 3: Cross multiply
    9,473,744,275,696x = 20,763,667,403,244 × 20,763,667,403,244
  4. Step 4: Simplify right side
    9,473,744,275,696x = 431,129,884,032,537,412,686,053,376
  5. Step 5: Solve for x
    x = 431,129,884,032,537,412,686,053,376/9,473,744,275,696
  6. Step 6: Final answer
    x = 45,507,865,896,123.09

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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.