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Finding the Third Proportional to 4,142,881,744 and 8,873,419,136

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Solution

The third proportional to 4,142,881,744 and 8,873,419,136 is: 19,005,506,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,881,744 : 8,873,419,136 = 8,873,419,136 : x
  2. Step 2: Convert to fraction form
    4,142,881,744/8,873,419,136 = 8,873,419,136/x
  3. Step 3: Cross multiply
    4,142,881,744x = 8,873,419,136 × 8,873,419,136
  4. Step 4: Simplify right side
    4,142,881,744x = 78,737,567,163,130,986,496
  5. Step 5: Solve for x
    x = 78,737,567,163,130,986,496/4,142,881,744
  6. Step 6: Final answer
    x = 19,005,506,801.43

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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.