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Finding the Third Proportional to 1,693,806,868 and 3,669,011,746

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Solution

The third proportional to 1,693,806,868 and 3,669,011,746 is: 7,947,569,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,868 : 3,669,011,746 = 3,669,011,746 : x
  2. Step 2: Convert to fraction form
    1,693,806,868/3,669,011,746 = 3,669,011,746/x
  3. Step 3: Cross multiply
    1,693,806,868x = 3,669,011,746 × 3,669,011,746
  4. Step 4: Simplify right side
    1,693,806,868x = 13,461,647,192,285,968,384
  5. Step 5: Solve for x
    x = 13,461,647,192,285,968,384/1,693,806,868
  6. Step 6: Final answer
    x = 7,947,569,139.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.