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Finding the Third Proportional to 379,328,928,273 and 819,116,309,008.65

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Solution

The third proportional to 379,328,928,273 and 819,116,309,008.65 is: 1,768,785,551,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,328,928,273 : 819,116,309,008.65 = 819,116,309,008.65 : x
  2. Step 2: Convert to fraction form
    379,328,928,273/819,116,309,008.65 = 819,116,309,008.65/x
  3. Step 3: Cross multiply
    379,328,928,273x = 819,116,309,008.65 × 819,116,309,008.65
  4. Step 4: Simplify right side
    379,328,928,273x = 670,951,527,683,954,216,796,160
  5. Step 5: Solve for x
    x = 670,951,527,683,954,216,796,160/379,328,928,273
  6. Step 6: Final answer
    x = 1,768,785,551,733.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.