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Finding the Third Proportional to 334,579,136 and 724,743,064

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Solution

The third proportional to 334,579,136 and 724,743,064 is: 1,569,890,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,579,136 : 724,743,064 = 724,743,064 : x
  2. Step 2: Convert to fraction form
    334,579,136/724,743,064 = 724,743,064/x
  3. Step 3: Cross multiply
    334,579,136x = 724,743,064 × 724,743,064
  4. Step 4: Simplify right side
    334,579,136x = 525,252,508,816,108,096
  5. Step 5: Solve for x
    x = 525,252,508,816,108,096/334,579,136
  6. Step 6: Final answer
    x = 1,569,890,206.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.