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Finding the Third Proportional to 786,882,493.69 and 1,696,340,998.97

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Solution

The third proportional to 786,882,493.69 and 1,696,340,998.97 is: 3,656,928,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,882,493.69 : 1,696,340,998.97 = 1,696,340,998.97 : x
  2. Step 2: Convert to fraction form
    786,882,493.69/1,696,340,998.97 = 1,696,340,998.97/x
  3. Step 3: Cross multiply
    786,882,493.69x = 1,696,340,998.97 × 1,696,340,998.97
  4. Step 4: Simplify right side
    786,882,493.69x = 2,877,572,784,782,466,560
  5. Step 5: Solve for x
    x = 2,877,572,784,782,466,560/786,882,493.69
  6. Step 6: Final answer
    x = 3,656,928,204.49

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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.