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Finding the Third Proportional to 790,767,992.81 and 1,646,987,382.56

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Solution

The third proportional to 790,767,992.81 and 1,646,987,382.56 is: 3,430,294,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,767,992.81 : 1,646,987,382.56 = 1,646,987,382.56 : x
  2. Step 2: Convert to fraction form
    790,767,992.81/1,646,987,382.56 = 1,646,987,382.56/x
  3. Step 3: Cross multiply
    790,767,992.81x = 1,646,987,382.56 × 1,646,987,382.56
  4. Step 4: Simplify right side
    790,767,992.81x = 2,712,567,438,320,074,752
  5. Step 5: Solve for x
    x = 2,712,567,438,320,074,752/790,767,992.81
  6. Step 6: Final answer
    x = 3,430,294,932.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.