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Finding the Third Proportional to 1,693,806,974 and 3,669,011,952

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Solution

The third proportional to 1,693,806,974 and 3,669,011,952 is: 7,947,569,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,974 : 3,669,011,952 = 3,669,011,952 : x
  2. Step 2: Convert to fraction form
    1,693,806,974/3,669,011,952 = 3,669,011,952/x
  3. Step 3: Cross multiply
    1,693,806,974x = 3,669,011,952 × 3,669,011,952
  4. Step 4: Simplify right side
    1,693,806,974x = 13,461,648,703,918,850,048
  5. Step 5: Solve for x
    x = 13,461,648,703,918,850,048/1,693,806,974
  6. Step 6: Final answer
    x = 7,947,569,534.52

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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.