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Finding the Third Proportional to 7,694,754,604 and 16,806,212,576

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Solution

The third proportional to 7,694,754,604 and 16,806,212,576 is: 36,706,665,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,754,604 : 16,806,212,576 = 16,806,212,576 : x
  2. Step 2: Convert to fraction form
    7,694,754,604/16,806,212,576 = 16,806,212,576/x
  3. Step 3: Cross multiply
    7,694,754,604x = 16,806,212,576 × 16,806,212,576
  4. Step 4: Simplify right side
    7,694,754,604x = 282,448,781,149,700,554,752
  5. Step 5: Solve for x
    x = 282,448,781,149,700,554,752/7,694,754,604
  6. Step 6: Final answer
    x = 36,706,665,213.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.