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Finding the Third Proportional to 2,011,557,488 and 3,004,948,488

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Solution

The third proportional to 2,011,557,488 and 3,004,948,488 is: 4,488,917,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,557,488 : 3,004,948,488 = 3,004,948,488 : x
  2. Step 2: Convert to fraction form
    2,011,557,488/3,004,948,488 = 3,004,948,488/x
  3. Step 3: Cross multiply
    2,011,557,488x = 3,004,948,488 × 3,004,948,488
  4. Step 4: Simplify right side
    2,011,557,488x = 9,029,715,415,533,486,080
  5. Step 5: Solve for x
    x = 9,029,715,415,533,486,080/2,011,557,488
  6. Step 6: Final answer
    x = 4,488,917,403.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.