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Finding the Third Proportional to 779,412,104 and 1,696,032,592

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Solution

The third proportional to 779,412,104 and 1,696,032,592 is: 3,690,636,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,412,104 : 1,696,032,592 = 1,696,032,592 : x
  2. Step 2: Convert to fraction form
    779,412,104/1,696,032,592 = 1,696,032,592/x
  3. Step 3: Cross multiply
    779,412,104x = 1,696,032,592 × 1,696,032,592
  4. Step 4: Simplify right side
    779,412,104x = 2,876,526,553,126,238,208
  5. Step 5: Solve for x
    x = 2,876,526,553,126,238,208/779,412,104
  6. Step 6: Final answer
    x = 3,690,636,235.14

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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.