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Finding the Third Proportional to 1,394,893,706 and 3,011,684,836

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Solution

The third proportional to 1,394,893,706 and 3,011,684,836 is: 6,502,463,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,893,706 : 3,011,684,836 = 3,011,684,836 : x
  2. Step 2: Convert to fraction form
    1,394,893,706/3,011,684,836 = 3,011,684,836/x
  3. Step 3: Cross multiply
    1,394,893,706x = 3,011,684,836 × 3,011,684,836
  4. Step 4: Simplify right side
    1,394,893,706x = 9,070,245,551,392,347,136
  5. Step 5: Solve for x
    x = 9,070,245,551,392,347,136/1,394,893,706
  6. Step 6: Final answer
    x = 6,502,463,601.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.