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Finding the Third Proportional to 27,228,900,384 and 58,282,814,080

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Solution

The third proportional to 27,228,900,384 and 58,282,814,080 is: 124,752,978,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228,900,384 : 58,282,814,080 = 58,282,814,080 : x
  2. Step 2: Convert to fraction form
    27,228,900,384/58,282,814,080 = 58,282,814,080/x
  3. Step 3: Cross multiply
    27,228,900,384x = 58,282,814,080 × 58,282,814,080
  4. Step 4: Simplify right side
    27,228,900,384x = 3,396,886,417,083,846,361,088
  5. Step 5: Solve for x
    x = 3,396,886,417,083,846,361,088/27,228,900,384
  6. Step 6: Final answer
    x = 124,752,978,239.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.