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Finding the Third Proportional to 389,954,014,032 and 849,136,357,792

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Solution

The third proportional to 389,954,014,032 and 849,136,357,792 is: 1,849,019,443,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,954,014,032 : 849,136,357,792 = 849,136,357,792 : x
  2. Step 2: Convert to fraction form
    389,954,014,032/849,136,357,792 = 849,136,357,792/x
  3. Step 3: Cross multiply
    389,954,014,032x = 849,136,357,792 × 849,136,357,792
  4. Step 4: Simplify right side
    389,954,014,032x = 721,032,554,124,263,425,048,576
  5. Step 5: Solve for x
    x = 721,032,554,124,263,425,048,576/389,954,014,032
  6. Step 6: Final answer
    x = 1,849,019,443,777.53

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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.