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Finding the Third Proportional to 1,343,920,217 and 1,868,613,638

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Solution

The third proportional to 1,343,920,217 and 1,868,613,638 is: 2,598,157,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,920,217 : 1,868,613,638 = 1,868,613,638 : x
  2. Step 2: Convert to fraction form
    1,343,920,217/1,868,613,638 = 1,868,613,638/x
  3. Step 3: Cross multiply
    1,343,920,217x = 1,868,613,638 × 1,868,613,638
  4. Step 4: Simplify right side
    1,343,920,217x = 3,491,716,928,119,595,008
  5. Step 5: Solve for x
    x = 3,491,716,928,119,595,008/1,343,920,217
  6. Step 6: Final answer
    x = 2,598,157,899.52

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Why These Related Problems?

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