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Finding the Third Proportional to 1,316,491,486.31 and 1,805,229,682.45

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Solution

The third proportional to 1,316,491,486.31 and 1,805,229,682.45 is: 2,475,408,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,491,486.31 : 1,805,229,682.45 = 1,805,229,682.45 : x
  2. Step 2: Convert to fraction form
    1,316,491,486.31/1,805,229,682.45 = 1,805,229,682.45/x
  3. Step 3: Cross multiply
    1,316,491,486.31x = 1,805,229,682.45 × 1,805,229,682.45
  4. Step 4: Simplify right side
    1,316,491,486.31x = 3,258,854,206,409,720,320
  5. Step 5: Solve for x
    x = 3,258,854,206,409,720,320/1,316,491,486.31
  6. Step 6: Final answer
    x = 2,475,408,493.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.