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Finding the Third Proportional to 811,064,906 and 1,665,126,412

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Solution

The third proportional to 811,064,906 and 1,665,126,412 is: 3,418,525,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,064,906 : 1,665,126,412 = 1,665,126,412 : x
  2. Step 2: Convert to fraction form
    811,064,906/1,665,126,412 = 1,665,126,412/x
  3. Step 3: Cross multiply
    811,064,906x = 1,665,126,412 × 1,665,126,412
  4. Step 4: Simplify right side
    811,064,906x = 2,772,645,967,939,993,600
  5. Step 5: Solve for x
    x = 2,772,645,967,939,993,600/811,064,906
  6. Step 6: Final answer
    x = 3,418,525,382.41

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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.