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Finding the Third Proportional to 1,693,806,940 and 3,669,011,885

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Solution

The third proportional to 1,693,806,940 and 3,669,011,885 is: 7,947,569,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,940 : 3,669,011,885 = 3,669,011,885 : x
  2. Step 2: Convert to fraction form
    1,693,806,940/3,669,011,885 = 3,669,011,885/x
  3. Step 3: Cross multiply
    1,693,806,940x = 3,669,011,885 × 3,669,011,885
  4. Step 4: Simplify right side
    1,693,806,940x = 13,461,648,212,271,253,504
  5. Step 5: Solve for x
    x = 13,461,648,212,271,253,504/1,693,806,940
  6. Step 6: Final answer
    x = 7,947,569,403.79

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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.