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Finding the Third Proportional to 418,658,917,704 and 913,090,693,488

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Solution

The third proportional to 418,658,917,704 and 913,090,693,488 is: 1,991,441,193,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,658,917,704 : 913,090,693,488 = 913,090,693,488 : x
  2. Step 2: Convert to fraction form
    418,658,917,704/913,090,693,488 = 913,090,693,488/x
  3. Step 3: Cross multiply
    418,658,917,704x = 913,090,693,488 × 913,090,693,488
  4. Step 4: Simplify right side
    418,658,917,704x = 833,734,614,534,396,819,013,632
  5. Step 5: Solve for x
    x = 833,734,614,534,396,819,013,632/418,658,917,704
  6. Step 6: Final answer
    x = 1,991,441,193,004.43

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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.