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Finding the Third Proportional to 821,911,840,266 and 1,257,433,086,270

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Solution

The third proportional to 821,911,840,266 and 1,257,433,086,270 is: 1,923,731,827,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,911,840,266 : 1,257,433,086,270 = 1,257,433,086,270 : x
  2. Step 2: Convert to fraction form
    821,911,840,266/1,257,433,086,270 = 1,257,433,086,270/x
  3. Step 3: Cross multiply
    821,911,840,266x = 1,257,433,086,270 × 1,257,433,086,270
  4. Step 4: Simplify right side
    821,911,840,266x = 1,581,137,966,446,497,356,578,816
  5. Step 5: Solve for x
    x = 1,581,137,966,446,497,356,578,816/821,911,840,266
  6. Step 6: Final answer
    x = 1,923,731,827,412.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.