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Finding the Third Proportional to 637,342,814 and 1,371,540,734

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Solution

The third proportional to 637,342,814 and 1,371,540,734 is: 2,951,510,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,342,814 : 1,371,540,734 = 1,371,540,734 : x
  2. Step 2: Convert to fraction form
    637,342,814/1,371,540,734 = 1,371,540,734/x
  3. Step 3: Cross multiply
    637,342,814x = 1,371,540,734 × 1,371,540,734
  4. Step 4: Simplify right side
    637,342,814x = 1,881,123,985,021,258,752
  5. Step 5: Solve for x
    x = 1,881,123,985,021,258,752/637,342,814
  6. Step 6: Final answer
    x = 2,951,510,464.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.