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Finding the Third Proportional to 1,343,920,224 and 1,868,613,648

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Solution

The third proportional to 1,343,920,224 and 1,868,613,648 is: 2,598,157,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,920,224 : 1,868,613,648 = 1,868,613,648 : x
  2. Step 2: Convert to fraction form
    1,343,920,224/1,868,613,648 = 1,868,613,648/x
  3. Step 3: Cross multiply
    1,343,920,224x = 1,868,613,648 × 1,868,613,648
  4. Step 4: Simplify right side
    1,343,920,224x = 3,491,716,965,491,867,648
  5. Step 5: Solve for x
    x = 3,491,716,965,491,867,648/1,343,920,224
  6. Step 6: Final answer
    x = 2,598,157,913.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.