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Finding the Third Proportional to 514,037,096 and 783,108,208

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Solution

The third proportional to 514,037,096 and 783,108,208 is: 1,193,023,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037,096 : 783,108,208 = 783,108,208 : x
  2. Step 2: Convert to fraction form
    514,037,096/783,108,208 = 783,108,208/x
  3. Step 3: Cross multiply
    514,037,096x = 783,108,208 × 783,108,208
  4. Step 4: Simplify right side
    514,037,096x = 613,258,465,436,971,264
  5. Step 5: Solve for x
    x = 613,258,465,436,971,264/514,037,096
  6. Step 6: Final answer
    x = 1,193,023,752.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.