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Finding the Third Proportional to 785,755,928 and 1,711,015,136

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Solution

The third proportional to 785,755,928 and 1,711,015,136 is: 3,725,804,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,755,928 : 1,711,015,136 = 1,711,015,136 : x
  2. Step 2: Convert to fraction form
    785,755,928/1,711,015,136 = 1,711,015,136/x
  3. Step 3: Cross multiply
    785,755,928x = 1,711,015,136 × 1,711,015,136
  4. Step 4: Simplify right side
    785,755,928x = 2,927,572,795,621,098,496
  5. Step 5: Solve for x
    x = 2,927,572,795,621,098,496/785,755,928
  6. Step 6: Final answer
    x = 3,725,804,274.96

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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.