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Finding the Third Proportional to 779,412,106 and 1,696,032,596

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Solution

The third proportional to 779,412,106 and 1,696,032,596 is: 3,690,636,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,412,106 : 1,696,032,596 = 1,696,032,596 : x
  2. Step 2: Convert to fraction form
    779,412,106/1,696,032,596 = 1,696,032,596/x
  3. Step 3: Cross multiply
    779,412,106x = 1,696,032,596 × 1,696,032,596
  4. Step 4: Simplify right side
    779,412,106x = 2,876,526,566,694,499,328
  5. Step 5: Solve for x
    x = 2,876,526,566,694,499,328/779,412,106
  6. Step 6: Final answer
    x = 3,690,636,243.07

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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.