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Finding the Third Proportional to 1,693,806,938 and 3,669,011,881

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Solution

The third proportional to 1,693,806,938 and 3,669,011,881 is: 7,947,569,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,938 : 3,669,011,881 = 3,669,011,881 : x
  2. Step 2: Convert to fraction form
    1,693,806,938/3,669,011,881 = 3,669,011,881/x
  3. Step 3: Cross multiply
    1,693,806,938x = 3,669,011,881 × 3,669,011,881
  4. Step 4: Simplify right side
    1,693,806,938x = 13,461,648,182,919,157,760
  5. Step 5: Solve for x
    x = 13,461,648,182,919,157,760/1,693,806,938
  6. Step 6: Final answer
    x = 7,947,569,395.85

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