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Finding the Third Proportional to 1,693,806,966 and 3,669,011,936

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Solution

The third proportional to 1,693,806,966 and 3,669,011,936 is: 7,947,569,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,966 : 3,669,011,936 = 3,669,011,936 : x
  2. Step 2: Convert to fraction form
    1,693,806,966/3,669,011,936 = 3,669,011,936/x
  3. Step 3: Cross multiply
    1,693,806,966x = 3,669,011,936 × 3,669,011,936
  4. Step 4: Simplify right side
    1,693,806,966x = 13,461,648,586,510,467,072
  5. Step 5: Solve for x
    x = 13,461,648,586,510,467,072/1,693,806,966
  6. Step 6: Final answer
    x = 7,947,569,502.74

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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.