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Finding the Third Proportional to 389,953,925,813 and 849,136,179,154

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Solution

The third proportional to 389,953,925,813 and 849,136,179,154 is: 1,849,019,084,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,953,925,813 : 849,136,179,154 = 849,136,179,154 : x
  2. Step 2: Convert to fraction form
    389,953,925,813/849,136,179,154 = 849,136,179,154/x
  3. Step 3: Cross multiply
    389,953,925,813x = 849,136,179,154 × 849,136,179,154
  4. Step 4: Simplify right side
    389,953,925,813x = 721,032,250,748,253,918,724,096
  5. Step 5: Solve for x
    x = 721,032,250,748,253,918,724,096/389,953,925,813
  6. Step 6: Final answer
    x = 1,849,019,084,100.77

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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.