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Finding the Third Proportional to 811,064,904 and 1,665,126,408

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Solution

The third proportional to 811,064,904 and 1,665,126,408 is: 3,418,525,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,064,904 : 1,665,126,408 = 1,665,126,408 : x
  2. Step 2: Convert to fraction form
    811,064,904/1,665,126,408 = 1,665,126,408/x
  3. Step 3: Cross multiply
    811,064,904x = 1,665,126,408 × 1,665,126,408
  4. Step 4: Simplify right side
    811,064,904x = 2,772,645,954,618,982,400
  5. Step 5: Solve for x
    x = 2,772,645,954,618,982,400/811,064,904
  6. Step 6: Final answer
    x = 3,418,525,374.41

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.