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Finding the Third Proportional to 1,693,807,125 and 3,669,012,257

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Solution

The third proportional to 1,693,807,125 and 3,669,012,257 is: 7,947,570,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,807,125 : 3,669,012,257 = 3,669,012,257 : x
  2. Step 2: Convert to fraction form
    1,693,807,125/3,669,012,257 = 3,669,012,257/x
  3. Step 3: Cross multiply
    1,693,807,125x = 3,669,012,257 × 3,669,012,257
  4. Step 4: Simplify right side
    1,693,807,125x = 13,461,650,942,016,233,472
  5. Step 5: Solve for x
    x = 13,461,650,942,016,233,472/1,693,807,125
  6. Step 6: Final answer
    x = 7,947,570,147.35

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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.