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Finding the Third Proportional to 4,653,888,062 and 7,408,835,660

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Solution

The third proportional to 4,653,888,062 and 7,408,835,660 is: 11,794,620,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,888,062 : 7,408,835,660 = 7,408,835,660 : x
  2. Step 2: Convert to fraction form
    4,653,888,062/7,408,835,660 = 7,408,835,660/x
  3. Step 3: Cross multiply
    4,653,888,062x = 7,408,835,660 × 7,408,835,660
  4. Step 4: Simplify right side
    4,653,888,062x = 54,890,845,836,887,638,016
  5. Step 5: Solve for x
    x = 54,890,845,836,887,638,016/4,653,888,062
  6. Step 6: Final answer
    x = 11,794,620,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.