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Finding the Third Proportional to 389,953,925,800 and 849,136,179,136

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Solution

The third proportional to 389,953,925,800 and 849,136,179,136 is: 1,849,019,084,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,953,925,800 : 849,136,179,136 = 849,136,179,136 : x
  2. Step 2: Convert to fraction form
    389,953,925,800/849,136,179,136 = 849,136,179,136/x
  3. Step 3: Cross multiply
    389,953,925,800x = 849,136,179,136 × 849,136,179,136
  4. Step 4: Simplify right side
    389,953,925,800x = 721,032,250,717,685,025,865,728
  5. Step 5: Solve for x
    x = 721,032,250,717,685,025,865,728/389,953,925,800
  6. Step 6: Final answer
    x = 1,849,019,084,084.02

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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.