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Finding the Third Proportional to 727,713,351 and 1,582,929,774

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Solution

The third proportional to 727,713,351 and 1,582,929,774 is: 3,443,205,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,713,351 : 1,582,929,774 = 1,582,929,774 : x
  2. Step 2: Convert to fraction form
    727,713,351/1,582,929,774 = 1,582,929,774/x
  3. Step 3: Cross multiply
    727,713,351x = 1,582,929,774 × 1,582,929,774
  4. Step 4: Simplify right side
    727,713,351x = 2,505,666,669,415,691,264
  5. Step 5: Solve for x
    x = 2,505,666,669,415,691,264/727,713,351
  6. Step 6: Final answer
    x = 3,443,205,578.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.