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Finding the Third Proportional to 493,606,703,412 and 1,001,092,503,304

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Solution

The third proportional to 493,606,703,412 and 1,001,092,503,304 is: 2,030,333,448,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,606,703,412 : 1,001,092,503,304 = 1,001,092,503,304 : x
  2. Step 2: Convert to fraction form
    493,606,703,412/1,001,092,503,304 = 1,001,092,503,304/x
  3. Step 3: Cross multiply
    493,606,703,412x = 1,001,092,503,304 × 1,001,092,503,304
  4. Step 4: Simplify right side
    493,606,703,412x = 1,002,186,200,171,469,187,579,904
  5. Step 5: Solve for x
    x = 1,002,186,200,171,469,187,579,904/493,606,703,412
  6. Step 6: Final answer
    x = 2,030,333,448,156.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.