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Finding the Third Proportional to 693,665,125 and 1,636,925,538

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Solution

The third proportional to 693,665,125 and 1,636,925,538 is: 3,862,851,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,665,125 : 1,636,925,538 = 1,636,925,538 : x
  2. Step 2: Convert to fraction form
    693,665,125/1,636,925,538 = 1,636,925,538/x
  3. Step 3: Cross multiply
    693,665,125x = 1,636,925,538 × 1,636,925,538
  4. Step 4: Simplify right side
    693,665,125x = 2,679,525,216,956,589,568
  5. Step 5: Solve for x
    x = 2,679,525,216,956,589,568/693,665,125
  6. Step 6: Final answer
    x = 3,862,851,281.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.