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Finding the Third Proportional to 1,693,806,942 and 3,669,011,889

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Solution

The third proportional to 1,693,806,942 and 3,669,011,889 is: 7,947,569,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,942 : 3,669,011,889 = 3,669,011,889 : x
  2. Step 2: Convert to fraction form
    1,693,806,942/3,669,011,889 = 3,669,011,889/x
  3. Step 3: Cross multiply
    1,693,806,942x = 3,669,011,889 × 3,669,011,889
  4. Step 4: Simplify right side
    1,693,806,942x = 13,461,648,241,623,349,248
  5. Step 5: Solve for x
    x = 13,461,648,241,623,349,248/1,693,806,942
  6. Step 6: Final answer
    x = 7,947,569,411.73

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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.