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Finding the Third Proportional to 389,954,014,034 and 849,136,357,796

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Solution

The third proportional to 389,954,014,034 and 849,136,357,796 is: 1,849,019,443,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,954,014,034 : 849,136,357,796 = 849,136,357,796 : x
  2. Step 2: Convert to fraction form
    389,954,014,034/849,136,357,796 = 849,136,357,796/x
  3. Step 3: Cross multiply
    389,954,014,034x = 849,136,357,796 × 849,136,357,796
  4. Step 4: Simplify right side
    389,954,014,034x = 721,032,554,131,056,586,915,840
  5. Step 5: Solve for x
    x = 721,032,554,131,056,586,915,840/389,954,014,034
  6. Step 6: Final answer
    x = 1,849,019,443,785.47

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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.