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Finding the Third Proportional to 3,023,820,488 and 4,204,380,684

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Solution

The third proportional to 3,023,820,488 and 4,204,380,684 is: 5,845,855,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,820,488 : 4,204,380,684 = 4,204,380,684 : x
  2. Step 2: Convert to fraction form
    3,023,820,488/4,204,380,684 = 4,204,380,684/x
  3. Step 3: Cross multiply
    3,023,820,488x = 4,204,380,684 × 4,204,380,684
  4. Step 4: Simplify right side
    3,023,820,488x = 17,676,816,935,992,307,712
  5. Step 5: Solve for x
    x = 17,676,816,935,992,307,712/3,023,820,488
  6. Step 6: Final answer
    x = 5,845,855,270.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.