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Finding the Third Proportional to 418,658,917,708 and 913,090,693,496

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Solution

The third proportional to 418,658,917,708 and 913,090,693,496 is: 1,991,441,193,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,658,917,708 : 913,090,693,496 = 913,090,693,496 : x
  2. Step 2: Convert to fraction form
    418,658,917,708/913,090,693,496 = 913,090,693,496/x
  3. Step 3: Cross multiply
    418,658,917,708x = 913,090,693,496 × 913,090,693,496
  4. Step 4: Simplify right side
    418,658,917,708x = 833,734,614,549,006,150,270,976
  5. Step 5: Solve for x
    x = 833,734,614,549,006,150,270,976/418,658,917,708
  6. Step 6: Final answer
    x = 1,991,441,193,020.30

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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.