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Finding the Third Proportional to 4,142,881,734 and 8,873,419,116

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Solution

The third proportional to 4,142,881,734 and 8,873,419,116 is: 19,005,506,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,881,734 : 8,873,419,116 = 8,873,419,116 : x
  2. Step 2: Convert to fraction form
    4,142,881,734/8,873,419,116 = 8,873,419,116/x
  3. Step 3: Cross multiply
    4,142,881,734x = 8,873,419,116 × 8,873,419,116
  4. Step 4: Simplify right side
    4,142,881,734x = 78,737,566,808,194,220,032
  5. Step 5: Solve for x
    x = 78,737,566,808,194,220,032/4,142,881,734
  6. Step 6: Final answer
    x = 19,005,506,761.64

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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.