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Finding the Third Proportional to 5,893,488 and 12,648,104

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Solution

The third proportional to 5,893,488 and 12,648,104 is: 27,144,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,488 : 12,648,104 = 12,648,104 : x
  2. Step 2: Convert to fraction form
    5,893,488/12,648,104 = 12,648,104/x
  3. Step 3: Cross multiply
    5,893,488x = 12,648,104 × 12,648,104
  4. Step 4: Simplify right side
    5,893,488x = 159,974,534,794,816
  5. Step 5: Solve for x
    x = 159,974,534,794,816/5,893,488
  6. Step 6: Final answer
    x = 27,144,287.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.