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Finding the Third Proportional to 4,220,596,208 and 6,208,131,441

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Solution

The third proportional to 4,220,596,208 and 6,208,131,441 is: 9,131,623,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220,596,208 : 6,208,131,441 = 6,208,131,441 : x
  2. Step 2: Convert to fraction form
    4,220,596,208/6,208,131,441 = 6,208,131,441/x
  3. Step 3: Cross multiply
    4,220,596,208x = 6,208,131,441 × 6,208,131,441
  4. Step 4: Simplify right side
    4,220,596,208x = 38,540,895,988,732,739,584
  5. Step 5: Solve for x
    x = 38,540,895,988,732,739,584/4,220,596,208
  6. Step 6: Final answer
    x = 9,131,623,611.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.