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Finding the Third Proportional to 3,418,804,095.47 and 7,408,218,679.88

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Solution

The third proportional to 3,418,804,095.47 and 7,408,218,679.88 is: 16,052,895,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418,804,095.47 : 7,408,218,679.88 = 7,408,218,679.88 : x
  2. Step 2: Convert to fraction form
    3,418,804,095.47/7,408,218,679.88 = 7,408,218,679.88/x
  3. Step 3: Cross multiply
    3,418,804,095.47x = 7,408,218,679.88 × 7,408,218,679.88
  4. Step 4: Simplify right side
    3,418,804,095.47x = 54,881,704,008,848,883,712
  5. Step 5: Solve for x
    x = 54,881,704,008,848,883,712/3,418,804,095.47
  6. Step 6: Final answer
    x = 16,052,895,245.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.